The China Fusion Engineering Test Reactor (CFETR) is a nuclear fusion reactor that China is about to develop and manufacture independently. The central solenoid (CS) is one of its key components for inducing and maintaining the plasma during the tokamak operation. In phase II of CFETR, the maximum magnetic field of the CS magnet must be 17.5 T. In such a high magnetic field, NbTi and Nb3Sn cannot carry very high current. Thus, the use of high-temperature superconductors is one of the options for the manufacture of CFETR CS coils. Research on high-temperature superconducting joints as the key components for the electrically connection of cables has already been launched in Institute of Plasma Physics, Chinese Academy of Science (ASIPP). In this paper, the design of the overlap joint for the CS coil is described: the Bi-2212 strands in the cable terminations are soldered together with the pure indium layers with a saddle-shaped copper sole. Moreover, the analysis of the joint resistance, the AC loss, and the temperature rise caused by the joining is discussed in detail.