A roller type overrunning clutch is often used for the pulse-continuously-variable-speed transmission (pulse-CVT). This paper investigates the time-dependent characteristics of this clutch. The operation of the overrunning clutch for the pulse-CVT includes a working process, an acceleration process, and a locking process. The characteristics of the dynamic load in these processes were analyzed and closed-form equations were obtained for the load as a function of time. For the first time, a theoretical solution for the slip angle, which was usually determined by experimental measurements, was formulated based on an impact analysis.