Discontinuous Galerkin method(DGM) used node displacement approximations as trial functions

and weakened the continuity of first order and n-th order differential in the internal element boundary

reduced the difficulty to construct the shape functions

so this method is especially fit for solving the problem of higher order differential equation. Based on the principle of DGM

the integral weak form of the forth order differential control equation of elastic foundation beam is established. Numerical calculation and convergence analysis are carried out by the computer program. The results of calculation show that it is efficient for DGM to solve the elastic foundation beam problems.