To solve the problem of cogging torque of the flux-switching machine for electric bicycles, two machines with 12 slots/10 poles and 12 slots/11 poles are designed and compared based on the slot-pole matching principle. The torque ripple of the 12-slot/11-pole machine is only 16.6% of that of the 12-slot/10-pole machine. The cogging torque is further reduced by the rotor segmented skew pole method. The influence of the rotor skewed pole angle on the torque performance is analyzed. The simulation results show that the torque ripple of the 12-slot/11-pole flux-switching machine with the optimization of the skewed pole is only 2%, and the output torque can meet the daily driving power demand of the electric bicycle.