Abstract: Universal fittings are each characterized by at least one connecting port having stepped internal sleeves of decreasing diameter for receiving and joining or capping plastic or metal pipe of various corresponding diameter. The universal fittings are each capable of connecting or capping pipe of varying outside diameter and are designed to reduce the number of conventional fittings which are currently necessary to join pipe in conventional fashion. A single universal fitting can be used to connect or cap pipe of the same or different diameter by inserting the end of the pipe into one of several internal sleeves which corresponds to or is slightly larger than the outside diameter of the pipe. Universal fittings which are provided according to this invention include elbows, tees, reducers, end caps and couplings, in non-exclusive particular.