Abstract: In order to satisfy the requirements of fast response, high precision and strong robustness for terminal guidance laws, this paper proposes a novel predefined time convergent guidance strategy. First, the relative kinematic model of the direct collision intercept flight vehicle's terminal guidance segment is established, and the second-order state equation composed of the sight angle and its angular velocity is derived. Then, a novel predefined time convergent theorem is proposed, and a predefined time convergent guidance law is designed based on this theorem. The stability of the guidance law is proved using the Lyapunov theorem. Finally, the guidance command is discretized using the pulse-width pulse-frequency (PWPF) method. Numerical simulation results show that the proposed guidance law can make the sight angle angular velocity converge stably and without oscillation within the predefined time constant, and has high guidance accuracy.