Submitochondrial particles from beef heart, washed with dilute solutions of KCl so as to activate the latent, membrane-bound ATPase, F1, may be used to study single site catalysis by the enzyme. [gamma-32P]ATP, incubated with a molar excess of catalytic sites, a condition which favors binding of substrate in only a single catalytic site on the enzyme, is hydrolyzed via a four-step reaction mechanism. The mechanism includes binding in a high affinity catalytic site, Ka = 10(12)M-1, a hydrolytic step for which the equilibrium constant is near unity, and two product release steps in which Pi dissociates from catalytic sites about 10 times more rapidly than ADP. Catalysis by the membrane-bound ATPase also is characterized by a 10(6)-fold acceleration in the rate of net hydrolysis of [gamma-32P]ATP, bound in the high affinity catalytic site, that occurs when substrate is made available to additional catalytic sites on the enzyme. These aspects of the reaction mechanism of the ATPase of submitochondrial particles closely parallel the reaction mechanism determined for solubilized, homogeneous F1 (Grubmeyer, C., Cross, R. L., and Penefsky, H. S. (1982) J. Biol. Chem. 257, 12092-12100). The finding that removal of the enzyme from the membrane does not significantly alter the properties of single site catalysis lends support to models of ATP synthesis in oxidative phosphorylation, catalyzed by membrane-bound F1, that have been based on the study of the soluble enzyme.