A stair climbing system for moving objects either up or down stairs that entails placing a base and roller assembly in a first position on the stairs, rolling the object over the stationary base and roller assembly, and then advancing the base and roller assembly from a trailing position under the object to an advanced position to continue movement of the object up or down stairs. The base and roller assembly base includes first and second side panels supporting a roller, each having surfaces reacting against the stair step and the stair riser to prevent tilting of the base and roller assembly under the load of the object.