<p>Although the existing literature has reported on the dynamic behavior of conical shells under moving loads, no studies have investigated the dynamic response of graphene platelet-reinforced metal foam (GPLRMF) conical shells with initial geometric imperfections. In this paper, a dynamic model of such GPLRMF conical shells under moving loads is established to investigate their dynamic response characteristics. The first-order shear deformation theory (FSDT), combined with Hamilton’s principle, is adopted to derive the governing equations. Subsequently, the Galerkin method is used to discretize the motion equations under simply supported boundary conditions, yielding a system of ordinary differential equations. The validity of the mechanical model is validated through two comparative examples. Additionally, convergence analysis for conical shells with different semi-vertex angles is performed to verify the accuracy of the proposed method. Finally, parametric analysis of the dynamic response is conducted using the Runge–Kutta method, presenting results including the time history of midpoint deflection and the velocity history of maximum midpoint deflection.</p>