Laser shock peening (LSP) is the emerging technology among several severe surface treatment processes for improving mechanical characteristics of metallic materials by producing compressive residual stresses. Though several LSP experiments have been done on compressive residual stresses, scare amount of studies concentrated on numerical investigation of residual stresses in LSP. The objective of this article is investigation of the experimental and numerical study of compressive residual stresses on AA 7075 t651. In the experiment, residual stresses analysis is performed. The sin^ method was utilized for measuring residual stresses. The three-dimensional (3-D) finite element method (FEM) analysis was applied to simulate the LSP on AA 7075 t651. The simulated and measured results showed good agreements. The numerical study was utilized to determine the compressive residual stresses.