Abstract: A stress reduction groove for tubular connections which relates to a threaded pipe connection, and includes a box member, a pin member, and a continuous groove formed in the thread of one of the members. The box member has a tapered, internal, generally dovetail-shaped thread with stab flanks, load flanks, roots, and crests. The internal thread has a beginning and an end and increases in width in one direction. The pin member also has a tapered, external, generally dovetail-shaped thread with stab flanks load flanks, roots, and crests. The external thread increases in width in the other direction so that the complementary flanks of the respective threads move into engagement during rotational make-up of the connection and form sealing surfaces that resist the flow of fluids between the threads upon rotational make-up of the connection. A section of one of the internal and external threads has the continuous groove formed in the roots thereof.