Our examination of the relations of spherically symmetric accretion on a massive point object to viscous drag, neglecting gas pressure and using self-similar transformation, shows the behaviors of the asymptotic solutions? in the regions near to and far from the center. The viscosity reduces the free-fall velocity by the factor (1+ζ)−1, and causes flattening in the density distribution. Therefore, the viscosity leads to the reduction of the mass accretion rate.