When the improved Laplace algorithm is used to forecast the satellites orbit, the extrapolate accuracy of the algorithm is usually relatively lower at a high elevation angle for the satellite, especially at the time of passing zenith. To meet the requirements of high-precision orbit forecast, this paper proposes a new orbit forecast method based on time-correction by analysis of extrapolating data and measured data. Firstly, the method performs a coordinate rotation for the extrapolating data and measured data, Then, it uses the measured data to correct extrapolation data on the time to obtain high-precision forecast data of satellite orbit. An experiment is carried out by using a horizontal photoelectric device with high-precision automatic tracking data more than 60 s length. By fitting the equations of motion and time correction, over 20 s duration precision forecast data are extrapolated, and the forecast error has be maintained at about 3″ on the time of passing zenith. Experimental results show that this method effectively improves the orbit forecast accuracy and the time ensuring tracking accuracy when the satellite is at the time of high evelation angle.