This paper proposes the technique for the following two analyses : an analysis on stresses induced in structural members undergoing finite displacements and expressed in the form of an increment based on the kinematical and statical relation equations of the whole space truss, and a bifurcation buckling analysis under stability conditions. The proposed analyticaltechnique is explicit to develop a theory and easy to structure an algorithm, though it increases the total number of numericalcalculations to prepare tangential stiffness matrices. Two space truss domes, in which simple and dual bifurcation points arise on an equilibrium path, are taken as example numerical analyses to check the validity of the technique.