Combining the variational perturbation with the integral perturbation, we establish the variational-integral perturbation method(VIPM).Applying the VIPM to hydrogen atom in strong and uniform magnetic field, we construct the fnrst-order corrected wave functions consisting of a few terms and calculate the second-order energy corrections for ground state and some lower excited states.Our calculation result of energies are negative values only, these values are compared with the elaborate calculations of Smith et al and the simple basis variational calculations of Jason.One clearly sees the results of the VIPM are more accuracy than their results.The results show that the VIPM can not only raise precision of the result but also keep convergence of the wave function.