Precast concrete industry, due to its inherent and unique characteristics in terms of fabrication and construction, has become well known among engineers in recent decades. Compared to in-situ concrete structures, precast concrete systems provide engineers with better quality control in production process, facility of construction, etc. But connections between structural elements are vulnerable in precast concrete structures. Connection details, in addition to their vital role in local and overall structural response to loadings, are effectively dominant over erection process. Rigid beam to column connections in these types of structures are relatively difficult to form and may neutralize precasting traits. Consequently, a beam to column connection detail, which is fast and easy to construct, and of course, capable of satisfying mechanical requirements such as strength and stiffness, is the main goal of this research. Two types of semi-rigid beam to column connections were suggested, designed, analyzed using nonlinear finite element software, ABAQUS. Computer models of connections were subjected to monotonic lateral load, accompanied by axial load on column. Computer analysis was performed in order to obtain an estimation for future experimental studies. Results were compared with equivalent in-situ system in terms of lateral stiffness, strength, energy absorption and ductility. Increase in compressive axial force over column has positive effects while tension results in reduction of lateral stiffness and strength, in both one way and two way connections. The before mentioned properties in precast connections are less sensitive to column load variation. Analysis results were satisfactory compared to equivalent in-situ connection. Thus, they can be used instead of rigid connections. Finally, the design methods for the suggested connections were presented. Keywords: Precast Concrete, Rigid Beam to Column Connections, Nonlinear Finite Element, Lateral Stiffness and Strength, Energy Absorption, Ductility