Abstract: A precoding scheme for the FD-MIMO (full-dimension multiple input multiple output), limited-feedback systems is proposed and a determinant-based criterion of selecting precoding codeword is presented. This scheme can reveal the channel feature information more accurately after channel decomposition, select the codewords in the vertical and horizontal vectors by the presented criterion, and form the codeword structure in the form of Kronecker product. Furthermore, a formula for calculating the efficient number of the feedback is also proposed. The results of simulations show the effectiveness of the proposed scheme and the proposed formula.