In this paper, at the first time, dynamic response of the curved sandwich shells with simply supported and clamped boundary conditions subjected to low velocity multi- mass impacts was studied based on an improved higher order sandwich panel theory. Using a new linearized two degrees of freedom spring-mass system and complete solution model, the results are derived and compared with each other. The presented formulation is general and capable to analyses the curved sandwich panel subjected to multi-mass impacts with arbitrary different masses, initial velocities and impact locations. In this investigation, the effect of geometrical parameters, such as length to width ratio (a/b) and thickness of the core to thickness of the shell ratio (hc/h), on the impacts response from both presented models are studied and compared together.