A reversible resilient wall padding apparatus includes a reversible resilient wall pad and at least one pad connector. The pad includes front, rear, and peripherally-extending sides, and at least one side connector disposed along the peripheral-extending side. The pad connector includes a first portion releasably attachable to the side connector, and a second portion attachable to a vertical surface of a wall. The pad is attachable in a first orientation with the front side facing outwardly and the first portion of the pad connector being attached to the side connector, and the second portion of the pad connector being disposed adjacent to the rear surface of the pad and the vertical surface of the wall, and a second orientation with the rear side of the pad facing outwardly and the first portion of the pad connector being attached to the side connector, and the second portion of the pad connector being disposed adjacent to the front surface of the pad and the vertical surface of the wall.