According to aberration characteristic in length direction of rectangle beam from a master oscillator power-amplifier (MOPA) slab solid system, a new type of wavefront corrector named one-dimension deformable mirror (DM1D) with actuators arranged in one direction is developed. The key parameters such as the thickness of the reflecting mirror, the shape of the cementation face are analyzed and optimized by simulations. The surface of the DM1D is driven by 11 piezoelectric actuators, whose static peak to calley (PV) distance is less than 0.17 mm and which can provide an effective dynamic correcting range more than 5 mm. With activity refrigerating design, the temperature rise of mirror surface can be controled within 1 ℃, which is caused by the input high power laser with the power density of 8 kW/cm2 in long time. The beam quality factor β of the output laser beam can be reduced from 8.82 to 4.38 by DM1D in closed loop experiment, proving that the aberration is effectively compensated. The correcting capability and practicability of the DM1D are verified in more experiments.