The tamper evident cap assembly is structured for protective connection to a syringe of the type having a nozzle and a discharge port, wherein the cap assembly includes a body configured to receive and restrict access to the nozzle. A flow restricting member is connected to the body in flow restricting relation to the discharge port of the nozzle. An attachment assembly interconnects the body and the flow restricting member and is structured to facilitate detachment of the body from the flow restricting member upon the body being removed from the syringe. A connecting assembly is mounted on the flow restricting member and is structured to be connected to a syringe nozzle by a linearly directed, snap-fit, “push-on” action, and to be disconnected therefrom by a “rotate-off” action.