The perfectly preserved Cubist artwork had been bought by an anonymous donor from a New York gallery and given to a charity working to save the ancient city of Tyre in southern Lebanon.
The UNESCO-registered charity issued 50,000 tickets at 100 euros each for the tombola at Sotheby's in Paris, hoping to raise USD 5 million.
The lucky winner in the raffle was 25-year-old Jeffrey Gonano from Pennsylvania, who works for a fire protection company.
Olivier Picasso, Pablo's grandson, was among those drumming up interest in the 40,000-odd tickets.
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"Buy a ticket and enjoy a double pleasure," Olivier, whose grandmother Marie-Therese Walter was Picasso's mistress, had told AFP.
"The first one will be to help a really interesting project and the second one is, hey, maybe to get a Picasso on your wall."
People from all over the world went online to buy just one or a handful of tickets.
Although Olivier never met his grandfather, he has written books about the life of the 20th century art genius and is convinced that Picasso would have approved of the pre-Christmas tombola.
"In many ways he was excited about exploration, so for sure being the first one to be in a raffle would be exciting but more seriously he was really concerned by other people's problems.
"In the '50s for example he was receiving something like 100 requests per day for money, for participations, for a gift and I've been told most of the requests were answered," he said.
The International Association to Save Tyre (AIST) says it is the first time that a top-level piece of art has ever been raffled.
Their publicity drive began in Paris, moved to London and finished in New York. The website functioned in Arabic, English, French and Russian to widen the net of potential buyers.