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This paper proposes an Incremental Nonlinear Dynamic Inverse (INDI) control scheme for the problem of transition mode control of Tilt Rotor Unmanned Aerial Vehicle (TRUAV). Firstly, based on the dynamic characteristics of the quadrotor TRUAV, a longitudinal motion model suitable for control is established. Then, the virtual control command and control allocation methods are studied, and an adaptive tilt scheme for the transition mode of the TRUAV is designed based on these methods. Subsequently, based on the incremental nonlinear dynamic inverse control theory, the inner/outer loop controllers for the altitude, velocity and attitude transition modes are designed, as well as a mixed control method for rotor and rudder deflection control quantities. Finally, simulation experiments validate the effectiveness of the adaptive tilt scheme based on virtual control command allocation, as well as the robustness of the altitude, velocity, and attitude controllers.