Satellite ground stations generally use the SGP4/SDP4 model of two line element(TLE) format to calculate and predict the satellite orbit for guidance. However, with the continues expanding applications of Kaband communication satellite antenna, this orbit prediction model can not meet the requirements of high precision measurement and control of Kaband antenna, especially for highorbit satellite with low elevation angle. A satellite tracking and prediction method based on orbit elements for Kaband TT&C antenna is proposed. The influence of satellite perturbation model on orbit prediction under different precision requirements is analyzed. And the error correction of the electric wave elevation is considered and the orbit prediction calculation process is designed. The orbit calculation model is simplified while guaranteeing the accuracy of orbit prediction. The proposed method is tested using two highorbit satellites with low elevation angles, and the tracking guidance accuracy is less than 0005 degrees which can meet the requirements of highprecision, stable and continuous tracking for Kaband TT&C antenna. This work can greatly improve the highspeed data transmission capacity and availability of communication satellite in bad weather, equipment failure and other emergency situationss.