Back in the late 1980s, Tyson bumped into the then-unknown actor, who was on a date with the boxer's estranged wife Robin Givens.
According to RadarOnline, the 47-year-old retired sportsman has claimed in his new book Undisputed Truth that "stoned" Pitt pleaded with him not be beaten up.
"You had to see the look on his [Pitt's] face," Tyson wrote. "He looked like he was ready to receive his last rites."
Tyson's new book is expected to be released on November 12.