The lawsuit, filed Thursday in federal court in Manhattan, involves injuries Bork suffered in June 2006 in a fall at the club. Bork fell from a dais at an event in a banquet room at the club sponsored by The New Criterion magazine.
"Because of the unreasonable height of the dais, without stairs or a handrail, Mr. Bork fell backwards ... striking his left leg on the side of the dais and striking his head on a heat register," Bork said in court papers.
Bork required surgery and was unable to work for months.
A former solicitor general of the United States and federal appellate judge, Bork is best known for his failed nomination to the U.S. Supreme Court in 1987. President Ronald Reagan named him to the high court but Bork failed to win confirmation from the Senate after contentious hearings.