A plug connection for connecting a light waveguide to a plug has a plug member with a connecting light waveguide extending from one side thereof having an end being spliced to a light waveguide of a light waveguide cable and at least one strain relief element being passed over the splice and connected to the plug member. The method of forming the plug connection includes providing a sufficient length of both the connecting light waveguide extending from the plug member and the light waveguide of the cable so that a connection in a normal, known splicing apparatus can be obtained outside of the position of the plug member and then conducting the strain relief element over the splice region and connecting it to the plug member.