We theoretically investigate the spectral hole burning of surface plasmon polaritons (SPPs) at an interface between rubidium ( 87 Rb) atomic medium and silver. A typical Lamb dip can be observed at a certain frequency where the absorption of SPPs is suddenly reduced. By applying Kerrtype nonlinearity to the 87 Rb atomic gas, the slope of dispersion becomes more normal and steeper. Under the effect of Doppler broadening, a group index of 20 000 at the SPPs hole burning region is obtained and is further enhanced to 120 000 with the application of Kerrnonlinearity. Similarly, the propagation length of SPPs is increased at the hole burning region and is further enhanced with Kerrnonlinearity. Further, we show that this nonlinear effect results in the enhancement of the phase shift from 0.02 to 1.5 radian at the hole burning region. These results may find important applications in nanophotonics, optical tweezers, photovoltaic devices and sensing technology.