Nowadays, Grid stiffened composite shells have many applications in aerospace. These structures include an external shell in which some helical and circumferential ribs placed in the inner surface of the shell are being used to reinforce it. Conical shells are one type of these structures that is used in the construction of space projectile body. In this study, buckling behavior of Grid stiffened composite conical shells under axial loading have been investigated. For this purpose, both smeared and finite element methods have been used and effects of external shell winding, helical ribs angle, ribs number and vertex angle of cone parameters on the buckling load of these structures were investigated. In analytical method, stringers by a shell that have equivalent stiffness were smeared. Based on this analysis, the extensional, coupling and bending matrices associated with the stiffeners were determined. Then, by use of Ritz method, buckling load was calculated. Also, in the finite element method, conical shells by use of ANSYS software were modeled and analyzed. In finite element analysis, two kinds of mode shape for these structures were observed. Also, the results from smeared method showed that the structure with ribs of 30 degrees and shell winding angle between 70 to 80 degrees can be a modify case for design.