There is provided a method and device for feeding back a pre-coding matrix index of a dual-polarized antenna which has a first antenna array and a second antenna array and is arranged at a base station to which the index of a first pre-coding matrix for the first antenna array, the index of a second pre-coding matrix for the second antenna array and the phase offset between the first pre-coding matrix and the second pre-coding matrix are fed back from a terminal, comprising: computing a distance between the first pre-coding matrix and the second pre-coding matrix; judging whether the distance is larger than a predetermined threshold or not; and assigning less bits to indicate the phase offset if the distance is larger than the predetermined threshold. The method and device according to the present disclosure can effectively advance the feedback accuracy of a system thus improving the bit error rate and throughput of the system.