A propulsion system, for use by a swimmer in both on-water and under-water applications, includes at least one power supply unit attached to a sleeve secured about and to a forearm of the swimmer, at least one corresponding propulsion unit including a motor and an impeller, the propulsion unit offset from the forearm near to the wrist and away from the head of the swimmer, and control elements that actuate the power and propulsion units. One control element includes a grip upon the flexion axis of the swimmer which controls pitch of a longitudinal axis of the propulsion unit relative to a forearm of the swimmer, the control elements include a pivotally secured bracket, and elements for control of the level of power provided to the propulsion unit, in which the rotation and control elements are both positioned for ease of accessibility by a hand of the swimmer.