When deformations are large and structure behaves nonlinearly, the stiffness of the structure changes and a geometric nonlinear analysis should be performed to predict the real behavior of the structure. Among of several methods in geometric nonlinear analysis, Stability function approach is one of the most important methods. Previous researches in stability functions approach are limited to frames with rigid or ideal hinge connections. But real behavior of connections is semi-rigid and previous methods should be modified. This work present a method for large deformation analysis of elastic space frames incorporating the effects of semi-rigid connections. Member force-deformation relationships are adopted for semi-rigid connections consideration and the effect of large rotation and force interaction also taken into account. Numerical examples are shown the good accuracy of the analysis using the newly formulated approach.