An adjustable attachment apparatus for a container, in particular, a roll-on, roll-off container, for use with a truck equipped to transport the carrier, such as a hoist truck. The container attachment apparatus includes a connector member, more specifically a hook-receiving member which is vertically adjustable in a guide member to a plurality of different heights in relation to a ground surface in order to accommodate trucks having container retrieving hoist mechanisms with a hook or other element of differing minimum heights which manipulates the container through the connector member. In one embodiment, the guide member includes a rail having a slotted track.