According to the BBC, New York's Metropolitan Museum of Art was the second most-visited venue, with three London museums taking the third, fourth and fifth positions.
The most popular exhibition of the year was a show of Dutch Old Masters at Tokyo's Metropolitan Art Museum.
Masterpieces from the Mauritshuis, which included Vermeer's 1665 painting Girl with a Pearl Earring, brought 10,500 visitors a day to the Tokyo gallery between June and September 2012, the report said.
According to the report, Tate Modern, which attracted large number visitors, moved up a place to fourth on the list with 5.3 million visitors, up from 4.8 million in 2011.
Meanwhile, in the Art Newspaper's list of top 10 London venues, Leonardo at the National Gallery was the highest ranking show to feature pre-20th Century works, with 3,985 visitors a day, the report added.