In this paper, we add transmit power control within each AMC mode for the cross-layer combining AMC and ARQ for OFDM system. Our scheme that subjects to power constraint in each AMC mode is different from the scheme of the other paper that subject to power constraint averaged over all AMC modes. Also the other paper is a single-carrier system. Numerical results reveal that in the system, the average SE of our proposed scheme is better than the non-adaptive case.