An apparatus is provided for creating an improved configuration of overlapping lengths (L1, L2) of flexible thermoplastic strap to accommodate the formation of an improved joint between the strap portions. The apparatus includes first and second strap engaging members (21, 22) respectively defining first and second contoured surfaces (81, 82) for engaging respectively first and second strap lengths to position the joint portions between the strap engaging members in an overlapping relationship along an interface region and to position the trailing portion of each strap length to extend in a plane generally parallel to a reference plane with at least a part of the length of the interface region being non-parallel to the reference plane. In the preferred embodiment, the strap engaging members are each provided with a convex surface and a concave surface and are disposed to align the concave surface of one member generally in registry with the convex surface of the other member.