The invention relates to an angular momentum management method for a variable-speed control moment gyroscope (VSCMG). A technical scheme is described as follow. An angular momentum management algorithm for the VSCMGs is designed to mainly solve the following problems: mixed mode instruction torque output based on singularity measurement, zero-motion rotor wheel speed balance, zero-motion frame configuration singularity avoidance, frame angular velocity dead-zone nonlinear processing and neglected item compensation, and gives corresponding theoretical analysis. The mixed mode of the VSCMGs gives full scope to the large torque output of the control moment gyroscope and large-angle fast attitude maneuver operation can be achieved by using the steering law. The present invention provides a novel VSCMGs angular momentum management algorithm which is improved significantly in torque output accuracy, angular velocity tracking, and frame singularity avoidance compared with a conventional angular momentum management algorithm, and which has a good engineering value.