The invention discloses an anti-slip control method for a hybrid electric vehicle, the hybrid electric vehicle and a storage medium, and belongs to the field of vehicle control. The method comprises the following steps of S1, acquiring a whole vehicle signal; S2, if an anti-slip condition is met, turning to S3, and otherwise, ending; S3, if the rotating speed of a driving motor is larger than a first threshold value, starting the engine, and turning to S4; otherwise, stopping the engine, and turning to S4; S4, calculating PI adjusting torque; S5, calculating a feed-forward torque and a total output torque; S6, if the total output torque exceeds a locked-rotor torque range of the driving motor, turning to S7, and otherwise, turning to S8; S7, calculating the engine torque and the driving motor torque, and turning to S9; S8, defining the torque of the driving motor as the total output torque, and turning to step S9; S9, if the vehicle is stable, turning to S10, and otherwise, turning toS4; S10, if the stable duration of the vehicle exceeds the set time, turning to S11; and S11, resetting the PI calculator, and turning to S2. When the vehicle slides on a slope quickly, the driving motor and the engine are adopted to maintain the stability of the vehicle, and the reliability is high.