The tour -- entitled "Prince Spotlight: Piano and a Microphone" -- would have begun on November 24 in Vienna, Austria, and would have included dates in Britain and Sweden.
The 57-year-old American was expected to be in Paris on December 11 to play two shows at the historic Palais Garnier opera house.
"In light of the tragic events in Paris, the organisers decided to cancel the European tour," said Interconcerts, a ticket company.
A similar message was posted on the site of Vienna's concert hall.
A number of rock bands have also cancelled tour dates in France since the attacks, including U2, who cancelled some of their concerts.
Bono and the rest of the band members paid their respects in person at a makeshift memorial set up near the 1,500-seat Bataclan concert hall where 89 people were killed.
The California rock group Eagles of Death Metal was performing at the venue when gunmen burst in. Members of the band escaped unharmed and have returned to the United States.
Veteran English rock band Motorhead were also scheduled to perform in Paris on Sunday and have cancelled.
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