To study the mechanical stability of the superconducting coupling solenoid magnets in the MICE(Muon Ionization Cooling Experiment) channel,stress analysis by a finite element model has been performed and presented for the whole process of coil winding,cooling down and charging.According to the simulation results,the stress within the coil assembly is relatively high due to high magnetic field and large size of the coupling magnet.The shear stress is the critical factor for the instability of the coil package.In the region of shear stress concentration,crack of epoxy resin in the direction of principal stress and the maximum shear stress will cause a quench or coil training