We present a novel two-point model of a kite with a suspended control unit to describe the characteristic swinging motion of this assembly during turning manoeuvres. Quasi-steady and dynamic model variants are combined with a discretised tether model, and simulation results are compared with measurement data of an instrumented kite system. By resolving the pitch of the kite, the model allows for computing the angle of attack, which is essential for estimating the generated aerodynamic forces.