Abstract: In modern electronic countermeasures, digital radio frequency memory (DRFM) devices can quickly intercept airborne pulse Doppler radar signals and achieve diverse jamming to interfere with multiple-input multiple-output (MIMO) radar. MIMO radar can combat the DRFM-based jamming using multiple group orthogonal waveform sets. At the same time, to maximize the waveform diversity gain of MIMO radar, the waveforms transmitted within each pulse also need to be orthogonal. To balance the intra and inter-group orthogonality, a group orthogonal waveform sets optimization model is formulated. The objective function is the weighted sum of the evaluation metrics of intra-and inter-group correlation functions. To solve this optimization problem, a group orthogonal waveform sets design method is proposed. The proposed method simplifies the origin optimization problem into a p-norm optimization problem. To minimize the objective function, an iterative solving formula is derived based on the MM algorithm. The simulation results show that the proposed method can flexibly balance the interference suppression and range compression performances of MIMO radar by adjusting the weighting factor.