Bestatin reversibly inhibits Aeromonas aminopeptidase (EC 3.4.11.10) in a process that is remarkable for its unusual degree of time dependence. The binding of bestatin by both Aeromonas aminopeptidase and cytosolic leucine aminopeptidase (EC 3.4.11.1) is slow and tight, with Ki values (determined from rate constants) of 1.8 X 10(-8) and 5.8 X 10(-10) M, respectively. In contrast, microsomal aminopeptidase (EC 3.4.11.2) binds bestatin in a rapidly reversible process with a Ki value of 1.4 X 10(-6) M. Kinetic analysis of the slow inhibition observed is facilitated by the use of a variety of experimental treatments, primarily measurements made during pre-equilibrium; however, careful selection of conditions permits use also of steady state observations. When titrated with bestatin, 1 mol of cytosolic leucine aminopeptidase (containing 6 g atoms each of zinc and manganese) is rendered 80% inactive by 1 mol of inhibitor, thus suggesting that enzymatic activity depends on one active site/hexamer; titration of Aeromonas aminopeptidase by bestatin reveals a 1:1 stoichiometry. Amastatin inhibits all three aminopeptidases through the mechanism of slow, tight binding with Ki values ranging from 3.0 X 10(-8) to 2.5 X 10(-10) M. This behavior of microsomal aminopeptidase contrasts sharply with its rapidly reversible inhibition by bestatin. The slow, tight binding observed with five of the six aminopeptidase-inhibitor pairs investigated suggests the formation of a transition state analog complex between the enzyme and inhibitor. Physical evidence consistent with this possibility was provided by the observation that both bestatin and amastatin perturb the absorption spectrum of cobalt Aeromonas aminopeptidase.