Bob Clifford, spokesman for Suffolk County District Attorney Thomas Spota, told Newsday Kidd was alone in a sports utility vehicle that crashed into a utility pole early Sunday in Southampton, N.Y.
Clifford said Kidd -- who signed a three-year contract with the Knicks Thursday -- was driving a 2010 Cadillac Escalade that left the road, hit a pole and went into the woods at 1:56 a.m. Sunday.
The player was taken to Southampton Hospital for treatment of minor injuries then moved to police headquarters for processing on the misdemeanor charge.
Kidd was released on his own recognizance after being arraigned.
The 10-time All-Star had been at a benefit honoring movie director George Lucas at a private home in East Hampton, N.Y., earlier in the evening, the newspaper reported.
The 18-year NBA veteran has averaged 13.0 points, 9.0 assists and 6.4 rebounds over his career with Dallas, Phoenix and New Jersey.