Mr Tyson, 47, was due in London this week for a promotional tour for his new autobiography Undisputed Truth. However, his publishers said recent changes to UK immigration laws meant he was unable to travel to the country and has been re-routed to Paris instead.
Mr Tyson is booked in for a British tour for his one-man Broadway show, directed by Spike Lee, in March next year, with dates in London, Glasgow and Manchester.
Tyson was convicted in 1992 for the rape of a teenage beauty queen, and served three years of a six-year sentence.
Under new immigration rules, any person who has been sentenced to more than four years in prison is barred from entering the country.
A Home Office spokeswoman said: "We would not comment on the details of an individual case."