A tubular connector system for joining two pipe ends without the necessity of rotating the pipe ends. A coupling has opposing tapered ends. Each of the tapered ends slopes inwardly from an inner extent to an outer extent to form a respective mouth opening of the body. Each tapered end of the coupling has a contoured surface which is made up of a series of alternating helical spline wedges. The wedges are oppositely tapered from an inner extent to an outer extent, whereby the helical spline wedges form an alternating series of lands and grooves on the body as viewed from the respective mouth openings. The two opposing pipe ends have mating engagement surfaces which engage and mate with the contoured surfaces of the coupling as one pipe end is pushed toward the other during assembly.