A quick-fitting pipe fitting assembly for coupling with at least one pipe element includes a pipe fitting body, at least one coupling unit, at least one gasket and a plurality of connecting elements. Each coupling unit includes a fixed coupling element integrally extended from the pipe fitting body and a movable coupling element, the gasket disposed at the coupling unit, the connecting elements movably connect the fixed coupling element with the movable coupling element, wherein the at least one coupling unit is adapted for being preassembled with the at least one pipe element and can be fastened by at least one fastening element that is capable of being operated to fasten the movable coupling element with the fixed coupling element.