This paper deals with the two-dimensional rolling-sliding contact problem with transient heat generation on an elastic half space containing a surface crack. Rolling-sliding contact is simulated as an arbitrary distributed contact load with normal and shear components, moving with constant velocity over the surface of the half space. The transient heat generation on the contact region is supposed to vary as the step-function of time. Numerical results are given for the cases of Hertzian and parabolic distributed loading and heating, respectively. It is considered hot the slide/roll ratio, Peclet number, the crack angle and the heat transfer coefficient on the crack face affect he stress intensity factors.