
The painting, entitled "Flowers" by Italian artist Paolo Porpora, dates back to the 1600s and is part of a collection of 55 artworks on show in the country's capital.
Video footage released by the organisers shows the boy on Sunday trip over a platform in front of the artwork and then brace himself against the painting to break his fall. He then looks around helplessly before walking away.
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"The child fell and pressed onto the painting, putting a fist-sized tear in it," an employee at TST Art of Discovery, which organised The Face of Leonardo exhibition in Taipei, told AFP.
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The organisers have decided not to seek damages from the boy's family, according to China News Agency.
The painting is being restored on site, the exhibition's organisers said in a Facebook post Monday.
A self-portrait by Leonardo Da Vinci worth 200 million euros ($231 million) is also being exhibited at the show, according to the exhibition's website.
Other museum accidents include when a British man in 2006 smashed a set of 300-year-old Chinese vases after tripping over his shoelaces at a museum in Cambridge, and when gaming tycoon Steve Wynn accidentally poked his elbow through the canvas of a $139 million Picasso painting.
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