It has become a consensus that near-Earth asteroids (NEAs) threaten global security, thus the detection of them is of great significance. The Multi-Application Survey Telescope Array (MASTA) features a large field of view, multiple telescopes, and a large aperture. It is fully suitable for the needs of asteroid detection. Its addition can significantly improve domestic capabilities of detecting near-Earth asteroids. In order to give full play to MASTA's advantages in detecting near-Earth asteroids, a survey strategy is proposed, and a survey planning model is built based on the integer linear programming model. To evaluate the performance of this model and the near-Earth asteroid detection efficiency of MASTA under this model, a set of simulated asteroids is created by expanding the known near-Earth asteroid samples, and a one-year near-Earth object survey simulation is conducted. Simulation results show that the survey planning model can well meet the needs of MASTA's near-Earth object survey; it can optimize the observation resource allocation of near-Earth object survey and take into account MASTA's other scientific goals; the number of near-Earth asteroids detected by MASTA in a year can reach 1.29% of its estimated sample size.