Abstract: The algebraic multigrid method is characterized by rapid convergence,high computational efficiency and less computer memory requirement.The algebraic multigrid method is applied to finite element analysis of rock mechanics and engineering.The coarse-grid selection method and interpolation operator based on element agglomeration and energy optimization,which are suitable for linear equations of finite element method of geomechanics,are discussed.Numerical tests show that the algebraic multigrid algorithm is robust when used in finite element analysis of rock mechanics and engineering.It has higher numerical efficiency than the direct method and other iterative methods for solving linear equations.