In this paper, the problem of unanimity of coupled nonlinear systems over coopetition networks is addressed. Specifically, it is investigated whether all system states of coupled nonlinear systems can reach an identical sign after a threshold of time has passed by, which is known as the unanimity. The switched nonlinear systems are considered in the case of coexistence of cooperative and competitive interactions between coupled nonlinear systems. Some conditions that ensure the unanimity of coupled nonlinear systems are derived by exploiting the properties of eventually positive matrices and Lie bracket. The efficiency of the obtained results is validated by an illustrative example.