Abstract: In this paper, by way of EBE strategy and PCG method, we have developed an EBE-Lanczos method for generalized eigenproblems, in which all of computations of Lanczos method are performed on the element level. The method not only can save memory space efficiently because of avoiding the formation of the global stiffness matrix, but also is very suitable for parallel computing. The numerical example on YH-Ⅱ super-computer has demonstrated that the above EBE-Lanczos iteration method can speed up the computation largely, and is one kind of effective solution methods for large-scale structural dynamical analysis problems.