Abstract: The step-less hydraulic power transmission of the present invention comprises essentially two gear pumps including a first pump that is reversible and continuously variable, in which the per revolution output is directly proportional to engine RPM. The first pump is driven by an engine and delivers a continuous flow of oil through a closed loop to a second gear pump which drives an output shaft. The direction of rotation in the second gear pump is determined by the polarity of oil flow delivered to it by the first gear pump. The gear tooth shape is such that, at any point along the gear axis, there is only one point of contact between a first gear and a second gear.