To accurately consider the initial rotational stiffness of self-centering joints and determine the contribution of friction between the connectors to the initial rotational stiffness in structural analysis, a friction web self-centering beam-column ductile joint was designed. The joint is composed of friction web, prestressed cables, upper and lower dog-bone flange connection plates, brass friction plates and high-strength friction bolts. Two different sizes of dog-bone flange connection plates and different prestressed cables were designed, and the bending moment-rotation angle of the joint, along with the relevant material data of each component, was obtained from the test. Then, a calculation formula of initial rotational stiffness is obtained based on the component method defined in EC3. To represent the friction of the friction web as an equivalent spring in the component method, the Iwan model is introduced to describe the mechanical behavior of friction. Comparison between the test results and the calculated values shows good agreement, indicating that the contribution of the friction web to the rotational stiffness cannot be ignored.