A modified version of the Ozer and Taha nonsingular cosmological model is presented on the assumption that the universes radius is complex if it is regarded as empty, but it contains matter when the radius is real. It also predicts the values: Omega_M =rho_M /rho_C approx 4/3, Omega_V = rho_V /rho_C approx 2/3, and Omega_ = rho_ /rho_C << 1 in the present nonrelativistic era, where rho_M = matter density, rho_V = vacuum density, rho_= negative energy density and rho_{C} = critical density.