The study on laminated composite materials is one of the emerging areas of Civil Engineering. Laminates with the desired properties can be used as an alternative material instead of conventional materials such as steel and concrete. This research focuses on the study of free vibration and forced vibration characteristics of laminated elliptical paraboloid shells. The linear strain triangular elements having six nodes is used in the formulation. The fundamental frequencies of the vibrations were determined for different geometry ratios, support conditions, and different lamina. The results obtained for free vibration analysis are compared with those in the literature given by Chakravorthy using eight node quadrilateral elements. Forced vibration analysis is performed for three different types of loading. The deformed shape and the selected nodal displacement results were presented. For an LEPS having SSSS boundary condition, it is observed that for a given set of geometry ratios, 45/-45/45/-45 lamina has the highest NDFF and least deflection shows highest stiffness over any other lamina. For an LEPS with the case of CCCC boundary condition, it is observed that for a given set of geometry ratios, 0/45/0 lamina has the highest NDFF and the lowest deflection showing the highest strength.