New Jersey Statutes Title 39. Motor Vehicles and Traffic Regulation 39 § 4-135

a. Upon those streets which have been designated by ordinance and have been marked or signed for angle parking, vehicles shall be parked at the angle to the curb designated and indicated by the ordinance and marks or signs.

b. Upon one-way streets, local authorities may permit parking of vehicles parallel with the left-hand edge of the roadway headed in the direction of traffic, on the left-hand side of the road and with the curb side of the vehicle within six inches of the edge of the roadway.