With the widely use of various electronic equipment and the intensification of electronic countermeasures, anti-jamming is the bottleneck problem that needs to be solved urgently in the field of satellite communication. In the face of dynamic and intelligent jamming environment, a multidimensional joint (MDJ) anti-jamming satellite communication method is proposed based on the time slot system. The best anti-jamming performance of the communication satellite system can be achieved by jointly considering several anti-jamming strategies such as channel coding, diversity combining and adaptive frequency hopping. Firstly, the multi-dimensional domain anti-jamming decision space model under the time slot system is established. The decision space is divided into two parts: waveform parameter space and channel parameter space, where the waveform parameter space includes the anti-jamming strategies of signal aspects such as modulation, channel coding and diversity combining. Then, based on the analysis of the transmission rate adaptive strategy and adaptive frequency hopping strategy, the MDJ anti-jamming algorithm is proposed. Finally, the effectiveness of the proposed method is verified by simulation analysis. Compared with existing methods, the proposed method can achieve higher communication capacity with less resource consumption.