Abstract: MMA (Multi-modulus Algorithm) which has better equalization performance than CMA (Constant Modulus Algorithm) for QAM signals can correct fixed phase bias and small carrier frequency offset besides equalization. But for practical communication systems, MMA’s tracking performance on the carrier frequency offset (CFO) is not enough, and its equalization performance is degraded a lot with a big CFO. For keeping the good steady state performance of MMA and enhancing the carrier frequency tracking performance, a joint blind equalization and carrier recovery structure is proposed in this paper, which puts the MMA equalizer into the carrier tracking loop for avoiding the CFO’s influence to the equalizer. Theoretic analysis is performed for the carrier frequency tracking loop of the proposed structure in detail, and the key performance elements of the loop are given. Numerical simulations verify the theoretical analysis, and show that the joint algorithm has a good equalization performance as with no CFO while achieving well tracking capability for a large CFO. The new algorithm shows to be a good solution for settling the problem of MMA’s performance degradation under large CFO conditions.