The Muon Ionization Cooling Experiment (MICE)  will demonstrate ionization cooling in a short section of a realistic cooling channel using a muon beam at Rutherford Appleton Laboratory (RAL) in the UK. The MICE RF and Coupling Coil (RFCC) Module consists of a superconducting solenoid mounted around four normal conducting 201.25-MHz RF cavities. The coil package that surrounds the RF cavities is to be mounted in a 1.4 m diameter vacuum vessel. The coupling coil confines the beam in the RFCC module within the radius of the RF cavity beam windows. Each coupling magnet will be powered by a 300 A, 10 V power supply. The maximum design longitudinal force that will be carried by the cold mass support system is 0.5 MN. The detailed design and analysis of the coupling magnet has been completed by ICST. The primary magnetic and mechanical design features of the coils are presented in this paper.