Electron dynamics in the extra-intense stationary laser field has been investigated by numerical simulation method.It is found,for the first time to our knowledge,that when Q100(Q=eE/mecω,is a dimensionless parameter measuring the field intenstiy),the electron with relatively lower energy can be captured and violently accelerated by the laser beam.This is a new phenmenon which is of potential importance to the far-field laser acceleration in vacuum.