A series of Pb-doped Bi-based alloys, alpha-Bi1-xPbxPd (0 <= x <= 0.5) and beta-Bi2-xPbxPd (0 <= x <= 0.6), were synthesized by facile solid-state reaction method. The powder X-ray diffraction confirmed that the crystal structure of samples remained the same after Pb-doping and the cell volume decreased with increasing Pb content. The influence of Pb-doping effect on superconductivity of BiPd and Bi2Pd alloys has been systematically examined by the magnetic susceptibility and resistivity measurements. Both alloy systems have shown bulk superconductivity and metallic conductivity in normal state. Furthermore, the superconducting onset temperature (T-c) gradually decreased with higher Pb content for both systems. The T-c dropped from 3.7 K for BiPd to 2.7 K for Bi0.8Pb0.2Pd, whereas the T-c dropped from 5.3 K for Bi2Pd to 2.4 K for Bi1.5Pb0.5Pd.