It is well-known that a kind of wheel drive mechanism is usefully employed in various service robots. One of the essential requirements for such robots is regarded as the capability of climbing that enables them to run on an inclined road smoothly. So, this paper considers the capability of climbing in a wheel drive robotic mechanism and proposes a necessary discriminating condition to determine the specification of a driving actuator which will be employed. Consequently, it is expected that the proposed discriminating condition can be applied to wheel drive robotic mechanisms in the design aspect.