The nonlinear propagation model was used to research the nonlinear propagation and Peak-to-Average Power Ratio (PAPR) of the stacked pulses based on cross-phase modulation between the sub-pulses. It is found that when the sub-pulses of the stacked pulse all overlapped, time-coherent will lead to interaction between the sub-pulses and change the quality of sub-pulses in the process of propagation. Under the condition of different sub-pulses delay, the intensity and PAPR of the stacked pulse occur different degrees of change during the propagation, and their variation amplitude decreases with the sub-pulses delay. For the Gaussian stacked pulse, the pulse shape can basically remain unchanged in the process of nonlinear propagation when the sub-pulses delay is about 3; while the super-Gaussian stacked pulse is about 2.2.