In order to explain the higher spin down rate of the intermittent pulsar PSR B1931+24 in the radio-on state than that in the radio-off state, and to simulate the rotation evolution of the Crab pulsar, the wind braking model in the annular acceleration gap considering both core and annular region with different acceleration potentials was established. For PSR B1931+24, the magnetic field strength and magnetic inclination angle are calculated, and the theoretical braking index is predicted. For the Crab pulsar, it is calculated for the magnetic field strength and magnetic inclination angle, evolution of the braking index with the period, and rotation evolution on the period-period derivative diagram. Compared with the vacuum acceleration gap, outer acceleration gap, etc., the annular acceleration gap can also be applied to the wind braking model of pulsars.