Considering the share and competition on the inversed population between different polarized lightwaves, the spectral time evolution and the threshold of polarized modes under local pumping are investigated by simultaneously solving Maxwell′s equations and rate equations of electronic population for both transverse magnetic (TM) and transverse electric (TE) modes. Results show that the lasing threshold of TM modes can be lower than that of TE modes when the radius of the local pumping region is suitably selected. The intensity peak of TE mode increases and then decreases quickly, which indicates that the TE mode is restrained gradually under local pumping when the local pumping region is quite small. The conclusions are different from the case of whole pumping.