Up to now the theoretical analysis for fracture behaviors of bulk metallic glasses (BMGs) are limited to uniaxial loading. However, materials usually suffer complex stress conditions in engineering applications. Thus, to establish an analysis method that could describe fracture behaviors of BMGs under complex loading is rather important. In this paper, a universal formula for the fracture angle is proposed toward solving this problem. The ellipse criterion is used as an example to show how to predict fracture behaviors of BMGs subjected to complex loading according to this formula. In this case, both the fracture strength and fracture angle are found to be well consistent with experimental data.