Abstract: Aiming at the search working mode design in the demonstration of new generation air defense radar, for the first time, the analytical formula for the pitch beam arrangement of digital array radar is derived systematically in theory, and the search time resource allocation process of traditional design is given accordingly. It is pointed out that single beam shape design cannot take advantage of digital array system in the design of search working mode of digital array radar, therefor a method by using pencil beam for low elevation and shaped beam for high elevation is innovatively proposed to optimize the design of time resources, the pitch dividing angle between pencil beam and shaped beam and the optimized time resource allocation process are theoretically derived. The utilization of optimized search time resource will be greatly improved. Finally, the effectiveness of the proposed method is verified by computer simulation and case application. The conclusion is of great significance to the demonstration of the new generation air defense intelligence radar, target indication radar and guidance radar. At the same time, it also has certain guiding significance for the digital upgrading of the active-duty air defense radar.