We compute the shear viscosity of superfluid Bose and Fermi gases on the base of Boltzmann equation and relaxation times. We show that, in the low temperature limit, the shear viscosities of Bose and Fermi gases are proportional to T^-1e^vp₀/T and T^-4, respectively. For the superfluid Bose gas at low temperature limit, only splitting processes contribute to the shear viscosity.