In this thesis, a meshless method employing exponential base functions, is presented for static analysis of thin cylindrical shells. Cylindrical shells are one of the most important types of shells that are used in various industries and so far several methods have been proposed for analyzing them. Simplicity, computational speed and analysis accuracy are the most important factors in choosing the proper method. In recent years, a meshless method has been used with an exponential function for solving a wide range of engineering problems successfully. In this study, the general and local forms of this method are developed for the analysis of thin cylindrical shells. In the general form of this method, first the homogeneous equation of thin cylindrical shell equations is written as a series of exponential basis functions, and then, by considering a particular solution, according to the type of loading, the constant coefficients of series are obtained by forming a set of nodes on the boundary and satisfying the boundary conditions. In the local form of the used method, the solution domain is discretized on a set of nodes inside the domain and on the boundary. Then, in each of the nodes, a cloud consists of a number of adjacent nodes is formed and the equation’s solution is considered as a series of exponential basis functions in the differential equation in the range of each cloud. The local form of this method is used to solve shell problems with internal boundary conditions and with arbitrary domain shape. The results indicate the capability of the proposed method, along with the simplicity and accuracy of the analysis of the aforementioned shells. To examine the accuracy and efficiency of the method used in this study, various examples are provided for cylindrical shells with different boundary conditions and shapes. The results of the proposed method have been compared with the results of COMSOL software analysis, which uses finite element method. Key Words: Cylindrical Shell, Exponential Basic Functions, Meshless Method, Static Analysis, Internal Boundary Conditions.