Within the framework of a two-state ratchet model, cooperative effects of collective molecular motors on the kinetics of adenosine triphosphate (ATP) hydrolysis have been studied in detail. We calculate the dependence of the rate of ATP consumption on the applied load. Features different from a single molecular motor have been found. We analyze two typical oscillations of collective molecular motors. The relations between the ATP concentration and oscillatory characteristics, such as frequency, amplitude, and the duty ratio, have been discussed.