An apparatus for mounting a wheelchair back that provides a high degree of support and adjustability such that it can be used with wheelchairs that originate from a wide variety of different manufacturers. In order to provide this custom fit, the present invention provide for depth adjustability, height adjustability and angle adjustability of a wheelchair back. The present invention also provides the convenience of a quick-release wheelchair back so that the wheelchair occupant can easily remove the back of the wheelchair from the canes so that the wheelchair can be collapsed and stored. The present mounting system also provides a two point mounting system that is reliable yet simple to use.