The Conductor on Round Core (CORC) cable has attracted wide attention with its strong current carrying capacity and high flexibility. Due to the limitation of soldering technology, joint resistances of a CORC cable are evitable, which can impact the performance of CORC cable significantly. In this work, a 3D model of a typical CORC cable with joint resistance is proposed based on H -formulation and heat transfer theory. Then, investigations are carried out on impacts of the joint resistance on the current distribution of CORC cable with DC transport current and AC transport current. Besides, the influence of Joule heat generated by the joint resistance on the temperature of the CORC cable is explored. The proposed model can serve as a powerful tool to analyze the electromagnetic-thermal behaviors of CORC cable in real applications.