This paper presents the results from the deterministic and probabilistic seismic analysis of the influence of center mass eccentricity to symmetric tall buildings. During the structural design process, the problems of the safety, reliability and durability of a single structural element as well as the entire structure from the point of view of its planned life cycle must be considered. The methodology of the seismic analysis of the reinforced concrete tall building structures on the base of deterministic and probabilistic assessment is presented. The possibilities of the utilization the LHS method to analyze the extensive and robust tasks in FEM is presented in the case of tall buildings with central core and columns system. The analysis of the seismic resistance of the structure was calculated in the ANSYS program.