Abstract: This paper is devoted to solving strength and stability problems of a built structure by using the finite element method and the increment method for the geometrical nonlinear structural problem. Structural elements contain bar, plane beam, space beam, triangular and rectangular plates with membrane stresses, rectangular plate element with bending deformations. Harmonization between platebar and beam is carried out by using infinitely stiff component. When generalized eigenvalue problem is solved with the aid of a simultaneous iteration algorithm, the initial test vector may be automatically generated by means of random numbers. In the paper some techniques in computational procedure are also described, and a few numerical examples are given.We have written a general purpose program in FORTRAN IV language. The program possesses the advantages of short computing time, good generality and convenience for use.