In this paper, primary resonance analysis of stiffened shallow shells with doubly curved ones is evaluated employing an analytical method. The shell material is hyperelastic, and the system is under external loading. The shell's mathematical model is developed using the first-order shear deformation theory (FSDT), considering von-Kármán's non-linear shell assumptions, multiple scales, and the Galerkin method. The Neo-Hookean hyperelastic type has been selected to explain the non-linear elasticity of the material. The stiffened shell geometric can be changed to different forms such as hyperbolic, cylindrical, and spherical shells by curvature components set. Several material parameters, number of stiffeners, geometrical ratio, etc., that affect shell oscillations results are examined and investigated in detail. According to the numerical results, it is characterized by increasing and decreasing the stiffener's number, damping coefficients (µ), and force amplitude (K), leading to significant changes in fundamental frequencies of the stiffened doubly curved shallow shell. Also, increasing of parameter σ, causes to increase the peak of response amplitude.