Abstract: In order to evaluate the tightness of bolted flanged connections accurately,the deformation and the contact stress along the radial direction of nonlinear gaskets have been researched using analytical method. The analytical results obtained by analytical method were compared with those by finite element analysis （FEA）,which shows that the results calculated by two methods are fundamentally coincident,but the former is smaller than the latter.The results indicate that both the deformation and the contact stress of gaskets distribute non-uniformly along the gasket radial direction,and they all increase from gasket inner margin to its outer margin.