Mr Bush was due to be the keynote speaker at a Jewish charity gala in Geneva on February 12.
But pressure has been building on the Swiss government to arrest him and open a criminal investigation if he enters the country.
Criminal complaints against Mr Bush alleging torture have been lodged in Geneva, court officials said.
Human rights groups said they had intended to submit a 2,500-page case against him in the Swiss city tomorrow for alleged mistreatment of suspected militants at Guantanamo Bay.
Left-wing groups have also called for a protest on the day of his visit, leading organisers at Keren Hayesod’s annual dinner to cancel Mr Bush’s participation on security grounds.