A system and method for simulating a swimming stroke wherein the resistance is supplied by resilient members connected to the user's arms and legs. In one aspect the invention is an exercise system comprising: a bench for supporting a user; means for securing to the user's left arm; means for securing to the user's right arm; means for securing to the user's left leg; means for securing to the user's right leg; and each of the left arm securing means, the right arm securing means, the left leg securing means, and the right leg securing means connected to the bench by at least one resilient member. Preferably the resilient members are connected to a pair of specially adapted gloves and socks. In another aspect, the invention is a method of using the system to simulate a swimming stroke wherein the user's movement is resisted during the entire range of motion.