Abstract: Based on the classical theories of stability of trusses, a computational method of buckling analysis of trusses is developed by using the eigenvalue theory and the critical buckling load of trusses is obtained by using both Euler's critical load theory and the static solution of removing buckling members. From the analysis of theories and corresponding examples, the computational method for identifying the buckling modes and the critical loads of trusses through the combination of the buckling eigenvalue theory and the Euler's critical load theory is demonstrated.