With the advance of machining, and the increase of the automation, the four-axis and five-axis transmission equipped on machine has become popular. Customers want to manufacture more materials by one time loading and unloading, as well as to enhance machining efficiency, eliminate positioning errors because of multiple times of loading and unloading. Therefore, it brings machining center new requirements: higher rotating speed and more safe during machining under the extreme conditions. In the case of loading limit, safety calculation of bearing becomes much important. In this article, we use the simulation software of finite element to simulate machining under the extreme situations with the focus placed on obtaining contact stress of angular balls in the high-speed precision spindle. With analyzing the values, the safety of machining center under the loading limit can be determined.