Inhibition of bovine cathepsins L and S by bovine stefin B, human stefins A and B and cystatin C was studied under pseudo-first-order conditions by continuous fluorimetric assay. All inhibitors formed very tight complexes with the enzymes (Ki < or = 29 pM). The binding was reversible (kdiss = 0.52 - 16.7 x 10(-4) s-1) and very fast (kass = 2.8 - 6.2 x 10(7) M-1 S-1). Cystatin C was the strongest inhibitor of the enzymes, but the affinity was too tight to be measured accurately by this method. Consistently weaker inhibition of cathepsin S by all the stefins is apparent due mainly to the higher dissociation rate constants.