Based on the multipactor dynamic model and the secondary electron emission yield curves, the multipactor phenomenon of the secondary electron emission subjected to the longitudinal radio frequency (RF) electric field existing on a dielectric surface is simulated using the Monte Carlo method. The susceptibility curve of the electric field on the surface and the temporal evolution image of the multipactor discharge are investigated. The power deposited on the dielectric surface by the multipactor is also obtained in terms of an S-band RF dielectric window. The results show that the longitudinal RF electric field may intensify the single-surface multipactor effect, which is likely to result in dielectric crack and detrimental to RF transmission.