The “near static state” cold plasma model of the interaction between the super-stength laser and the plasma was analysed.The refraction coefficient of plasma relativing to rectangle-pulse laser and un-rectangle-pulse laser were worked out.The influence of laser parameter to the refraction coefficient of plasmawasdiscussed.Theresultsarefounded:1)Whenthesizeofunitaryvectorpotentialislargerthan1.4,under the same laser strength,the electrostatic potential of rectangle laser is larger than that of the un-rectangle laser.And the less of laser strength is,the less is the discrepancy between the two;2)Under the same laser strength, the refraction coefficient aroused by rectangle-pulse laser is much bigger than that aroused by un-rectangle-pulse laser;3)No matter which kind the pulse laser is,so long as the laser strength increases,the refraction coefficient will increase too.But only the rectangle-pulse laser is the most easy to make the refraction coefficient reach 1;4)When the laser strength is certain,with the inc