Mining cranes play an important role in the transportation and installation of underground equipment. Operating swing angles will seriously affect the operations safety. To ensure the operation safety of mining cranes, this paper firstly established a mathematical model of mining crane hoisting swing, and discussed affecting factors of the oscillation. Then, the orthogonal test method has been carried out, and the optimal and serious working conditions were obtained. Finally, the accuracy of the numerical results have been cross-verified on the ADAMS virtual platform. Results show that the swing trend increases with the increase of pitch acceleration, rotary acceleration and rope length, especially the rotary angular acceleration. The vibration variation trends of Matlab numerical results and ADAMS simulation results are consistent, which cross-verifies the two extreme operation conditions are valid and reliable. It provides a useful reference for the future research.