The woman was shot in the thigh and dropped off at her aunt's house, according to police. She was reportedly crying and clutching her right leg when police arrived.
She was taken to Jersey City Medical Center, where she was in stable condition.
The man, from Emerson, was shot in the left forarm. He drove himself to the Broadway Diner in Bayonne, where he reported the shooting to police.
He was taken to Jersey City Medical Center in stable condition.
Witnesses said the victims' SUV had its windows shattered by at least two .22 caliber bullets.
No arrests were immediately made. Police looking for two men who opened fire and then fled in a Jeep.