This paper focuses on the correlation algorithm to realize high-resolution microwave staring correlated imaging (MSCI) in condition of large imaging area. Firstly, the imaging model applied in remote sensing is established, and the reduction of resolution caused by large imaging area is analysed. To solve the problem, we use multigrid (MG) method to solve the imaging equation in different scales, which can decrease the error of iteration. Furthermore, we apply the conjugate gradient least squares (CGLS) as iterative algorithm to solve the large scale equation. We name the new correlation algorithm as MG-CGLS. Simulation results show that MG-CGLS can increase the resolution in condition of large imaging area compared with existing correlation algorithm.