A tourniquet includes a flexible and stretchable strap of neoprene material supporting a relatively rigid stay on an inner surface of the strap. A buckle is secured to one end of the strap and the other end is looped through the buckle and can be tightened about a persons limb at a location of a severe wound where there is severe external or internal bleeding that must be stopped. The stay is position at or above the bleed site and the strap tightened enough to apply sufficient cuff pressure by the stay to stop the bleeding, while the flexible and stretchable strap applies a relatively lower cuff pressure to permit continued venous blood flow across the strap in the surrounding uninjured region of the limb.