The nonlinear dynamic behavior of transversely isotropic shallow spherical shells of Winkler foundation subjected to impact force was studied. Based on the nonlinear theory of shallow shells, a set of nonlinear equations of motion for transversely isotropic shallow spherical shells of Winkler foundation subjected to an eccentric impact force were founded. Considering the effect of contact between the striking object and the shallow shells, using the orthogonal point collection method, the effects of striking object's initial velocity, the point of contact, Winkler foundation and shell' geometr...