A traveling apparatus, including a housing, first and second wheels, a wheel driving section, and a control section. The first and second wheels are supported for individual rotation in one and the other direction around a common axis on the housing. The wheel driving section is configured to drive the first and second wheels to rotate individually. The control section is configured to control the wheel driving section and is operable to control, when traveling of the housing which is traveling is to be stopped, the wheel driving section to drive the first and second wheels to rotate in different conditions from each other so that the housing is revolved toward a first one of the leftward and rightward directions with respect to a traveling direction of the housing once and then revolved toward a second one of the leftward and rightward directions to stop the housing.