A compressed gas container and a flow control unit are retained within a rigid housing of a control device locally attached to an inflatable strap of a pneumatic tourniquet. The flow control unit, when triggered, is configured to selectively supply a dose of pressurized gas discharged from the gas container to an internal strap cavity, to achieve a predetermined cavity pressure for applying a required hemorrhage suppressing force onto a limb. In one embodiment, a strap restraining unit permits displacement of a free end of the strap without resistance until assuming a predetermined length sufficient to apply the hemorrhage suppressing force and which corresponds to a disposition of a restraining element at which it is in sufficiently close pressing relation with the strap to cause it to become restrained. The tourniquet is deployable in one embodiment by engaging an unattached end of a buckle frame with a large-area protruding part.