This article studies the effect of laser-field polarization direction on accelerating electrons with extra-intense stationary linear-polarization laser beam with 3D simulation of the relativistic Newton-Lorentz equation of motion.It is shown that there will exhibit remarkable inelastic effect of the electron scattering on the laser beam when the laser intensity a0=eE0/mecω～102.But this effect is dependent on the angle between the incident direction of the electron and the field polarization direction plane of the laser.When the electron is injected along the electric field polarization plane, the inelastic effect of scattering becomes maximum.However,with increasing angle,this effect will come down gradually,even disappears.This means the electron cannot be captured or accelerated violently.Thus,as for the scattering of electrons the strong laser beam field displays anisotropic feature,and we cannot describe it by the conventional ponderomotive potential model.This study is of significance in experimentally testing the laser acceleration effect, as well as designing laser accelerators in the future.