The shear viscosity tensor of the superfluid Fermi gas in p -wave state with weak interaction is calculated at low temperatures, by using the Boltzmann equation approach. We consider the transition probabilities for the binary, decay and coalescence processes. We show that only the binary processes are dominated at low temperatures and the components of shear viscosity ηxy, ηxx, ηyy are proportional to (1/T ) 2 , and ηxz, ηyz and ηzz are proportional to (1/T ) 4 and (1/T ) 6 , respectively.