The present invention relates to an anti-jerk control apparatus and method for an Hybrid Electric Vehicle (HEV).The anti-jerk control apparatus includes a model speed calculation unit for calculating a model speed of the motor in a state in which a vibration of a drive shaft is not considered. A vibration occurrence determination unit detects a speed vibration component while calculating a reference speed difference and an average speed difference from differences between the model speed and an actual speed of the motor, thus determining whether a vibration occurs on the drive shaft. A torque correction value calculation unit calculates a motor torque correction value for anti-jerk required to damp the vibration of the drive shaft, and controls torque of the motor if the vibration occurrence determination unit determines that the vibration occurs on the drive shaft.