A computer model of monostatic shallow-water reverberation is described. The model includes two types of reverberation: surface and bottom. In this paper, hydrophysical and acoustical characteristics of a shallow-water environment needed for reverberation modeling are described. The Pierson--Moskowitz and Leikin--Rosenberg spectra of wind seas are used to compute surface-scattering coefficients in the base of a two-scale model. The Lysanov-Ivakin models of bottom roughness are applied to compute bottom-scattering coefficients. A numerical procedure for computing the reverberation angular power spectrum as a function of time is described. A procedure for generating a random quasistationary reverberation time series at the array output is given. The computer simulation results are presented.