A latching rack system for carrying objects on a vehicle that is compatible with a standard receiver hitch. A latching rack platform has a standard hitch ball and a support mast with a latch pin and a shank to couple to a receiver hitch. A mating latching rack post incorporates a hitch ball cup and a latch device to securely couple to the latching rack platform. The weight of the rack and the objects carried is supported on the hitch ball and lateral support is provided by the support mast. The latching rack post can be mounted and dismounted without touching the latching rack platform or the receiver. The hitch ball is available for towing when the latching rack assembly is dismounted. The latching rack post can be integrated into objects to be carried to allow quick and easy mounting and dismounting.