Generalized force called bimoment has a great role in framed structures composed of thin-walled open-section members. Especially the notion of bimoment transfer at joints of these members should be taken into consideration carefully. Joint stiffness can be expressed by the joint stiffness matrix, which should include the effect of bimoment transfer. Balance equation of bimoment seems to be disturbed at a joint, and moreover, there is a problem at a joint on the sign of transfered bimoment. These problems should have solutions in the concept of joint stiffness for the bimoment transfer. This paper presents a new concept of joint stiffness considering bimoment transfer in order to reveal above peculiar behavior. Newly defined 9-types of joints are introduced using joint stiffness matrix besides framed and truss joints. Diversification of joint type is based on the objectivity of warping which is a kind of generalized deformation. In order to confirm the applicability of this new joint stiffness matrix, numerical calculations and experiments were carried out for several joint types. These joint types can be classified by each type of matrix and peculiarity of these joints was clarified.