An off-duty NYPD sergeant brawled with sheriff’s deputies over his double-parked SUV and led them on a wild chase — which included him backing into a pedestrian on a busy Brooklyn street, authorities said Tuesday.

Sgt. Anthony Peters’s white Jeep Cherokee was blocking a lane of traffic across from the Kings County Sheriff’s Office on Joralemon and Willoughby streets around 2 p.m. Monday when a deputy ordered him to move over a PA system, according to police.

When Peters refused, Sheriff’s Office Sgt. Jamal Williams confronted the cop, who then allegedly began to bolt by reversing his ride — hitting a pedestrian — sped off, according to a criminal complaint.

Williams and Deputy Sheriff David Chin put on their siren and gave chase, signaling for Peters to pull over — but the renegade sergeant allegedly blew a stop sign and kept driving, according to the complaint.

The cop pulled the dangerous move “in a densely populated area and refused to stop,” a police source said.

Peters eventually stopped his car and tried to pull the cop card — by literally whipping out his NYPD identification and announcing that he was a police officer twice, according to the complaint.

When Chin went to handcuff Peters, the cop allegedly pushed him away, flailed his arms and kicked his legs wildly, according to the complaint.

Peters was charged with resisting arrest, fleeing an officer in a motor vehicle, obstruction of government administration and disorderly conduct.