The wave packet dynamics of the photodetachment of H^- near dielectric surface are studied by using the wave packet evolution and the autocorrelation function. The results show that the evolutions of the autocorrelation function and the wave packet in the time domain correspond well with each other. Besides, we consider the influence of the electronic state lifetime on the wave packet evolution and the autocorrelation function. Numerical simulation shows that the evolution of the photodetached electronic wave packet near the dielectric surface exhibits some properties similar to the time-resolved two-photon photoemission intensity of surface electron.