The dynamic behaviors of a three-disc rub-impact rotor system for different types of bearings are analyzed. Dynamic models of the complicated rotor-bearing systems for five types of bearings are developed, based on the nonlinear rub-impact model and considering shear effect, gyroscopic effect and transverse torsion. The dynamic parameters of different types of bearings are obtained using the two-dimensional computational fluid method. The influences of the bearing and rotation speed on the dynamic behavior of the rotor system and the evolution law of the dynamic behavior of the rotor system are discussed in detail. It is found that the rotor system shows different response characteristics corresponding to different types of bearings. For the elliptical bearing, five-pad tilting pad bearing and four-pad tilting pad bearing, the main responses of the rotor system are synchronous periodic motion. But when the system is supported by a cylindrical roller bearing or four-lobe journal bearing, the nonlinear dynamic behaviors of the rotor system are more complicated, with the occurrence of quasi-periodic and multiple-periodic motion. The results can provide a reference for the dynamic design and fault diagnosis of large high-speed rotating machinery systems.