Diffraction efficiency and laser induced damage threshold relay on the optical character,and the laser induced damage character and mechanical character of multiplayer dielectric gratings(MDG) are used in Chirped-pulse amplification. A multi-layer dielectric stack design used at 1053 nm and exposed at 413 nm is given. The analysis show that H3L(H2L)^9H0.5L2.03H meets the requirement of MDG. At last,the optical character of the sample is tested. There is a good agreement between the test of transmittance curve and the design. Laser induced damage thresholds are 14.14 J/cm² and 9.32 J/cm² respectively when laser incident vertically and 51.2°. The multi-layer dielectric used in MDG represents compression stress force.