B-spline wavelet on the interval (BSWI) element of Hamilton canonical equation was established by combining the modified HellingerReissner (H-R) variational principle for elastic material with Bspline wavelet function on the interval.The modified HR variational principle for elastic material was presented,and the BSWI element of Hamilton canonical equation was derived from the variational principle with the scaling function of B-spline wavelet on the interval.The results of numerical examples show the correctness of the BSWI element formulation proposed.