Abstract: The pumping propulsion system relates to a new drive and/or power system for a bicycle/vehicle. Power is applied to the pumping propulsion system by a stepping action from an individual's legs and feet. The pumping propulsion system operates by use of independent drawn cup roller clutch mechanisms which are integral to a pair of support members and a sprocket which in turn are engaged to a shaft. The drawn cup roller clutch mechanisms permit the pair of support members to be returned to an elevated position by a spring mechanism. During operation of the pumping propulsion system, the stepping action by an individual rotates a sprocket which is engaged to a shaft. The shaft is engaged to the hub of the bicycle frame. The rotation of the sprocket circulates the chain, transferring power to the rear wheel propelling the bicycle/vehicle.