I think that one of the problems with modern museums is that they try to evoke some kind of mysterious atmosphere: in poorly-lit rooms, you can see only a couple of objects lying there, beautifully spotlighted, just looking mysterious. The illumination allows you to look at it from one point of view, but not from other angles. Photography is almost impossible. In other words, you cannot study the objects.
I get the impression that museums are now leaving this cul-de-sac, and return to decent displays. The Archaeological Museum of Tehran has never succumbed to ill-directed aestheticism, and this makes it, easily, one of the better museums dedicated to ancient culture.
This does not mean that there are no beautiful objects. The first part, dedicated to the Neolithicum and Bronze Ages, culminates in the pottery from Susa, which is just splendid. Recently, this part has been redesigned; several objects from the important excavations at Jiroft have been inserted, to name but one change.
The museum has a treasury that contains precious objects, made of silver and gold, but it is often closed. Asking for permission to get there is futile. In this aspect, the Tehran Museum suffers from the same error as western museums: it creates obstacles for students. I think this is inexcusable. There is simply no reason why a museum should hide its entire collection from people who have made an effort to get there.
This being said, the Tehran museum is really something special. Next to it is the museum of Islamic Art, which has not been open for quite some time; I remember that I liked it very much. Around the corner you will find the Ministry of Foreign Affairs, situated in a building that is inspired by the Persepolis Apadana; and around another corner, you will find a charming museum dedicated to fine art made of glass. If you have only one day in Tehran, spend it in this part of the city.
This museum was visited in 2004, 2005, 2008, 2009, 2010, 2011, 2012, 2013, 2014.
 Head of a bronze statue of a Parthian prince, found at Shami, Khuzestan
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 Persepolis, Apadana, Northern Stairs, Central Relief, Darius' flower
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 Susa, Statue of Darius, Subject slng (OP. Zranka = Drangiana)
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 Tepe Hisar, Late Bronze Age phial
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 Hamadan, Achaemenid cup with relief of a winged lion
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 Hamadan, Achaemenid rhyton
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 Susa, Statue of Darius the Great, Base with sema-tawy (front)
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 Susa, Statue of Darius the Great, Belt with akinakes
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 Susa, Statue of Darius, Subject hlhdy (OP. Gandâra = Gandara)
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 Susa, Statue of Darius, Subject t3 tjmhw (OE. Tjemehu = Cyrenaica)
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 Hamadan, Achaemenid statuette of a bull
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 Susa, Statue of Darius, Subject 3Sw3l (Assyria)
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 Bahram IV
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 Persepolis, Tripylon, Staircase
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 Susa, Inscription A2Sd
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 Hamadan, Sasanian dish
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 Susa, Inscription DSy
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 Susa, Statue of Darius, Subject sk3tl3 (OP. Skudra = Thrace)
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 Susa, Stone fish
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 Persepolis, Inscription XPh ("Daiva inscription")
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 Susa, Relief of Artabanus IV
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 Choga Zanbil, Inner Court, Statue of a cow
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 Persepolis, Apadana, Northern Stairs, Central Relief (Proskynesis scene)
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 Persepolis, Treasury, Weight DWc
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 Persepolis, Apadana, Northern Stairs, Central Relief
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 Susa, Statue of Darius, Subject m'dy (OP. Mâda = Media)
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 Tepe sialk, Jar from the fourth millennium BCE, decorated with ibexes
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 Persepolis, Apadana, Northern Stairs, Central Relief, Weapon carrier
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 Persepolis, Portrait of an Achaemenid woman or beardless prince
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 Persepolis, Apadana, Northern Stairs, Central Relief, Darius' stool
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 Persepolis, Palace of Darius, Doorknob with inscription DPi
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 Susa, Hellenistic portrait of a Muse
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 Yazdgard II
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 Susa, Inscription A2Sd
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 Tepe Sialk, Cup from the fourth millennium decorated with a human figure
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 Bahram V
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 Persepolis, Apadana, Northern Stairs, Central Relief, Great Magian
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 Persepolis, Apadana, Northern Stairs, Central Relief, Weapon carrier, Akinakes
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 Susa, Sassanian portrait
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 Tepe Hesar, Figurine
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 Ardashir II (Hormizd I), coin
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 Choga Zanbil, Ziggurat, Doorknob (Tehran)
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 Choga Zanbil, Ziggurat, Inner gate, Lock with Inscription
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 Susa, Statue of Darius, Subject skdy (OP. Sugda = Sogdia)
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 Susa, Inscription A2Sb
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 Hamadan, Achaemenid torque
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 Tepe Sialk, Cup from the first millennium
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 Persepolis, Apadana, Dog's head
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 Susa, Statue of Darius, Subject ch3rs3m' (OP. Uvârazmîy = Chorasmia)
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 Susa, Statue of Darius, Subject b3b3l (Babylonia)
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 hndw3y (OP. Hinduš = India)
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 Yazdgard I
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 Susa, Statue of Darius, Darius' name as cartouche: drjwS
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 Susa, Statue of Darius, Subject '3ylm "Chiefs of Irem" (Elam)
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 Bishapur, Palace, Mosaic of a lady with flowers
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 Persepolis, Apadana, Northern Stairs, Central Relief, Incense burners
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 Iranian Azerbaijan, Disk with a deity with two wild animals
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 Susa, Statue of Darius, Subject pls (OP. Parsa = Persis)
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 Valkash
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 Susa, Statue of Darius, Subject t3 nhsy (Kush)
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 Susa, Statue of Darius the Great, Base with sema-tawy (rear)
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 Susa, Statue of Darius, Subject kmt (OE. Kemet = Egypt)
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 Persepolis, Palace of Darius, Relief of a sphinx
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 Hellenistic portrait of a queen
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 Peroz I
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 Susa, Handle of a Parthian coffin
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 Susa, Statue of Darius the Great, left-hand side of the base
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 Susa, Statue of Darius, Subject pltiiw3 (OP. Parthava = Parthia)
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 Susa, Statue of Darius, Subject m'g (Maka)
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 Susa, Statue of Darius, Subject 3lm'yn3 (OP. Armina = Armenia)
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 Susa, Statue of Darius, Subject s3htjl (OP. Bâkhtriš = Bactria)
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 Persepolis, Apadana, Northern Stairs, Central Relief, Guards
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 Susa, Statue of Darius, Subject sg?shkš (OP Sâka = Scythians)
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 Persepolis, Apadana, Northern Stairs, Central Relief, Darius
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 Achaemenid nobleman
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 Persepolis, Apadana, Northern Stairs, Central Relief, Darius on his throne
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 Susa, Statue of Darius, Subject spltj3 (OP. Sparda = Lydia)
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 Grey ware from Khurvin
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 Persepolis, Queen's Quarters, Inscription XPf, Babylonian text
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 Sari, Sasanian plate
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 Susa, Statue of Darius, Subject hlw3 (OP. Haraiva = Aria)
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 Royal Warrior
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 Persepolis, Hall of 32 Columns, Plaque
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 Persepolis, Apadana, Northern Stairs, Central Relief, Pharnaces
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 Amulet of Bes from Iran
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 Susa, Statue of Darius, Subject gdpdk3y (OP. Katpatuka = Cappadocia)
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 Persepolis, Treasury, Statue of Penelope
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 Susa, Statue of Darius, Subject sdgw3? (OP. Thataguš = Sattagydia)
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 Susa, Statue of Darius, once erected in Egypt, but later brought to Susa.
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 Persepolis, Apadana, Northern Stairs, Central Relief, Guard, Weight
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 Persepolis, Apadana, Northern Stairs, Central Relief, Guard, "Apple"
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 Tepe Sialk, Early first millennium beak pot (2)
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 Damghan, Sasanian relief
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 Persepolis, Apadana, Northern Stairs, Central Relief, Prince
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 Persepolis, Tripylon, Lamassu capital
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 Susa, Statue of Darius, Subject Hgr (Hegra, i.e., Arabia)
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 Iranian Azerbaijan, Stone weight
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 Persepolis, Queen's Quarters, Inscription XPf, Persian text (Tehran copy)
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 Susa, Inscription A2Sb
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 Persepolis, Apadana, Inscription XPg
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