An acceleration control system stores a target acceleration calculation equation acquired by transforming an equation that expresses that a product of the differentiation of the square power of the speed and the environmental factor αenv represents a sensed value ε of acceleration. A surrounding environment monitor device detects surrounding bodies present in the forward periphery of the vehicle, and an environmental factor calculation unit calculates the environmental factor αenv by using the detected positions of the surrounding bodies. A target acceleration setting unit successively sets target accelerations aref in compliance with the target acceleration calculation equation by using the environmental factor αenv. The acceleration is executed to match the driver's feeling.