The back analysis in geotechnical engineering is a typical complicated nonlinear function optimization problem. To solve this problem, the global optimization algorithm is a very good method. But for the using FEM for many times in its process, the efficiency of this algorithm is low. In order to overcome the defect of those optimization methods, a new algorithm, particle swarm optimization (PSO), is proposed. Combining this algorithm with FEM, a new back analysis algorithm is proposed. Through a simple example, the proposed algorithm is verified; and the results show that this new algorithm i...