The output tracking problem of the Boolean control networks is studied under the combined action of event-triggered and flipped control by using the semi-tensor product of matrices. Firstly, based on the algebraic state-space representation of the Boolean control networks, an augmented system is constructed to transform the output tracking problem into a state set stabilization problem. Secondly, a necessary and sufficient condition is obtained for the solvability of the output tracking problem under two kinds of controls. Based on the minimum flipped node set, when this condition is satisfied, a design method of time-optimal control is proposed. The calculation process of the flipping node set in finite time is further given. Finally, an example is given to illustrate the effectiveness of the proposed results.