The scaling laws of high energy laser propagation through atmosphere are numerically analyzed by the four-dimension simulation program of high energy laser in atmosphere. The scaling relations of the 63.2% encircled energy beam radius spreading and the average energy intensity in the different encircled energy radius are obtained in the focal plane. The scaling relations are applicable to different atmospheric turbulence effects. Based on the relations,the atmospheric propagation effects of high energy laser can be predicted and estimated effectively.