Given the influence of riveted joints on elastically rotational restraint of stiffeners， the trigonometric function was used to simulate rotational restraining rigidity of stiffener， and Ritz method was used to establish an analytical model for local skin buckling problem of riveted stiffened panels under uniaxial compression. Critical local skin buckling stresses of typical metal riveted stiffened panels with Z-shaped stiffeners were calculated and analyzed by the experimental method， the finite element method （FEM）， the engineering simplified analytical method and the proposed analytical method. The reasonableness of the proposed analytical method was verified. Furthermore， the influences of rivet spacing and rivet attachment form on critical local skin buckling stresses were studied. Results showed that the variation of rivet spacing had less than 1% effects on critical local skin buckling stresses， while rivet attachment form stayed unchanged； and that double-row and interleaving-row rivet attachments could increase critical local skin buckling stresses about 11% compared with single-row rivet attachment， while rivet spacing stayed unchanged on conditions that configurations， dimensions and rivet spacing of Z-shaped stiffened panels were in common range of aerospace engineering use.