A comparative study of the association of two ribonucleases, barnase and binase, with the polypeptide inhibitor barstar has been performed by the Brownian dynamics simulation method. It was shown that the method adequately reproduced the dependence of the association rate on pH and ionic strength of solution and the influence of mutations of some ribonuclease amino acids. Two types of energetically favorable complexes of binase-barstar encounter were determined. In the type I complex, the amino acids of binase active center take part in the complex formation. In the second complex, the active center is free. It was supposed that the temporary binding of barstar into complex of type II is competitive relative to the inhibition reaction. This can partially explain the decrease in the rate of binase inhibition as compared with the corresponding reaction of barnase.