Abstract: The X-ray pulsar signal received by moving spacecraft is distorted by Doppler effect,which leads to the low accuracy in pulse arrival time measurement.In order to improve the measurement precision,the pulsar integrated pulse profile time delay measurement algorithm based on 3rd-order cross wavelet-cumulants is proposed.Firstly,the time delay model of X-ray pulsar integrated pulse profile received by moving spacecraft is analyzed.Then,this algorithm estimates the time delay through the peak position of 3rd-order cross wavelet-cumulants of pulsar standard profile and integrated pulse profile.Finally,time delay measurement experiment is processed with different signal-to-noise ratios and types of pulsars.The results show that this algorithm performs better than former algorithms when the received pulsar signal is Doppler-distorted,and is suitable for the arrival time measurement in moving spacecraft.