Several algorithms for solving equilibrium problems were introduced.Aiming at the problem that the convergence proof should be under the Lipschitz continuity condition,an accelerating projection algorithm was proposed.The algorithm adopts the auxiliary problem principle and the Armijo-type line-search technique to get an estimate point.According to the estimate point,a hyperplane was constructed.Through selecting an appropriate step length and reducing the projection domain,the sequence generated by the algorithm gained a fast speed constringency,which realizes the purpose of accelerating the projection.Finally,under some suitable conditions (without Lipschitz-type continuous condition),the global convergence of the sequence was proved.