Aiming at the problem of cooperative interception of maneuvering target, a cooperative guidance of multiple flight vehicles considering detection efficiency was designed based on the multi-agent finite time consensus theory. Considering the first-order dynamic of the flight vehicle, the guidance law was designed according to the relative motion equations and the model of cooperative detection, which can improve the estimation accuracy of the relative distance using the terminal LOS (Line-of-sight) angle and guarantee simultaneously strike the target in a finite time. Numerical simulation results show that in the case of different maneuvers of an evader, each flight vehicle can hit the target at the same time with a designed terminal LOS angle, and the detection accuracy of the relative distance was continuously improved during the terminal guidance.