The National Gallery of Australia's bronze sculpture of a dancing Shiva, purchased in 2008 from New York art and antiquities dealer Subhash Kapoor, was pulled from display in Canberra on Monday.
A lesser work also linked to Kapoor, the Ardhanariswara idol held by the Art Gallery of New South Wales in Sydney, has also been removed, the Attorney-General's Department said in a statement.
India requested the works' return on Friday and Australia, as a signatory to a UNESCO convention on the illicit import, export and transfer of ownership of cultural property, will implement its obligations under its Protection of Movable Cultural Heritage Act, it said.
The request from India follows a decision by the National Gallery of Australia to sue Kapoor, his firm Art of the Past, and former manager Aaron Freedman in New York's Supreme Court over the purchase.
The NGA has claimed that Kapoor and his company "fraudulently induced" the Canberra-based gallery to buy the statue for USD 5 million through forged certifications about its provenance and history.
Kapoor, who is in prison in India where he also faces charges, claimed the statue had been sold to him by the wife of a diplomat, the gallery said. He has pleaded not guilty to the charges against him.
"If the allegations regarding Mr Kapoor are proven to be true, then our gallery, along with leading museums around the world, will have been the victim of a most audacious act of fraud," it said.
"If proven, this fraud has involved the elaborate falsification of documents by a long-established New York art dealer who had been dealing with leading international museums for almost 40 years.
