The present invention provides a forward motion speed control system for a self-propelled concrete saw, a self-propelled concrete saw equipped with a forward motion speed control system and a method of controlling the forward motion speed of a concrete saw during a cutting or scoring operation. In one preferred embodiment of the invention, the forward motion speed control system senses and monitors the speed of a power plant transmitting rotational energy to a saw blade and adjusts the forward motion speed of the self-propelled concrete saw to maximize the forward motion speed of the self-propelled concrete saw while maintaining the speed of the power plant in a peak operational range.