The United National world heritage site had been the world's largest Greek Orthodox Christian church in the world for almost 1,000 years and it is now used as a museum.
It sits opposite the Sultanahmet Mosque, also known as the Blue Mosque, and represents where religions meet in the capital city.
Timeline:
- Biggest Greek Orthodox Church for 1,000 years
- Became a mosque in 1453
- Converted to a museum in 1935
- Gained UN world heritage site status in 1985
The Greek Foreign Ministry released a statement saying: "We condemn as regressive the Turkish authorities' announcement of the scheduling of a Koran reading in Hagia Sophia in Istanbul, on the occasion of Ramadan.
"Obsessions, verging on bigotry with Muslim rituals in a monument of world cultural heritage are incomprehensible and reveal a lack of respect for and connection with reality."
The Koran recitals started at the beginning of the week to celebrate Ramandan - a period where Muslims fast - and are being broadcast on Turkish TV.
According to the International Business Times, the issue has been taken to the European Parliament and MEP Elissavet Vozemberg-Vrionidi has asked a question to the European Commission over the "conversion of Hagia Sophia, a symbol of Greek Christianity, into a mosque through the live telecast of Koran readings from the basilica."
It has been reported that the Greek minister wants to know whether the actions "constitute a lack of respect for Christians around the world".
She has also asked action to be taken to preserve the monument.
The Hagia Sophia served as a Christian church until the Ottomans made it a mosque when they took the city in 1453.
But the founder of modern Turkey turned it into a museum in 1935 and it was later made a UN world heritage site in 1985.
It has also been claimed that last week thousands of Muslim worshippers wanted to pray inside the building and an imam led prayer before calling for the Hagia Sophia to be restored as an Islamic place of worship.
