In this study, nonlinear 2-D finite element approach was utilized to study the behavior of the rigid connection between steel girder and RC Column using stiffener and stud shear connectors. Two types of connections were analyzed. The position of stud shear connectors is the only difference between the two types. The behavior of the connection is focused and represented by the behavior of the stiffener, stud shear connectors, flange, bond stress and load transfer mechanism. In designing the specimens, studs were considered as main parameter. Load transfer mechanism of the specimens was considered in detail to provide some good information for understanding the behavior of the connection. It was found that in specimen with stud shear connectors, the stiffener carries tension forces larger than that in case of specimens without stud shear connectors and vice versa for compression force. The rigidities of the two analyzed types of specimens are still maintained even after yielding of reinforcement. It was found that the connection possesses a suitable degree of rigidity and it is very convenient for bridges especially in seismic regions. Anchorage length of reinforcement must be provided such that the average bond stress does not exceed the allowable limits. The role of studs in the stiffener is to distribute the stress from stiffeners to concrete in compression side and to transfer the stress from concrete to the stiffener in tension side. If no studs exist in the stiffeners, it was found that stress concentration occurs in the transferring the stress concentration at the topside of the stiffener which may occur if no studs exist.