A calculation scheme for the maximum entropy evaluation of the distribution of hyper-fine parameters from overlapped M?ssbauer spectra is proposed, which is subjected to the weak contraint condition. Maximum entropy evaluation is consistent with all given informations and has little correlation with the indefinite informations. The fitted distribution is characteristic of its positivity and bulk smoothness. Its local smoothness can be improved with relaxation of the contraint. The maximum entropy evaluation proved a more reliable method for fitting overlapped M?ssbauer spectra.