A pneumatic tourniquet, comprising an inflatable strap adapted to receive pressurized gas and to be wrapped around a wounded limb to provide a desired hemorrhage suppressing force, wherein the strap includes an inner layer, an outer layer, and an intermediate sealant layer that are interconnected; a casing (2, 38) having a puncture unit housing with which a gas cartridge filled with the pressurized gas is coupled, a puncture pin that terminates with a pointed end, and an outlet port; means for drivingly contacting the puncture pin to an inwardly displaced position at which the pointed end of the puncture pin punctures a puncturable cover normally sealing the gas cartridge, causing the pressurized gas to be discharged from the gas cartridge and flow via the outlet port to an interior of the inflatable strap; a constricting device adapted to receive a free end of the strap in such a way that the free end is unrestrainably displaceable within the constricting device until being clamped thereby when the strap is sufficiently tensioned to transmit the desired hemorrhage suppressing force; wherein the constricting device comprises a housing member and a rocker rotatably mounted onto, and within, the housing member by a longitudinally extending axle, the rocker being configured to be angularly displaced about the axle until a planar surface of the rocker is set in clamping relation with a clamping edge of the housing member while the strap is interposed between the planar surface and the clamping edge, in response to a force applied by the wounded limb onto the rocker when the strap is sufficiently tensioned, wherein a clamping force applied by the rocker surface and the clamping edge onto the intermediate sealant layer prevents flow of the pressurized gas from a pressure applying section of the strap which is wrapped around the wounded limb to the free end of the strap, causing the free end to be considerably thinner than the pressure applying section. an inflatable strap adapted to receive pressurized gas and to be wrapped around a wounded limb to provide a desired hemorrhage suppressing force, wherein the strap includes an inner layer, an outer layer, and an intermediate sealant layer that are interconnected; a casing (2, 38) having a puncture unit housing with which a gas cartridge filled with the pressurized gas is coupled, a puncture pin that terminates with a pointed end, and an outlet port; means for drivingly contacting the puncture pin to an inwardly displaced position at which the pointed end of the puncture pin punctures a puncturable cover normally sealing the gas cartridge, causing the pressurized gas to be discharged from the gas cartridge and flow via the outlet port to an interior of the inflatable strap; a constricting device adapted to receive a free end of the strap in such a way that the free end is unrestrainably displaceable within the constricting device until being clamped thereby when the strap is sufficiently tensioned to transmit the desired hemorrhage suppressing force; wherein the constricting device comprises a housing member and a rocker rotatably mounted onto, and within, the housing member by a longitudinally extending axle, the rocker being configured to be angularly displaced about the axle until a planar surface of the rocker is set in clamping relation with a clamping edge of the housing member while the strap is interposed between the planar surface and the clamping edge, in response to a force applied by the wounded limb onto the rocker when the strap is sufficiently tensioned, wherein a clamping force applied by the rocker surface and the clamping edge onto the intermediate sealant layer prevents flow of the pressurized gas from a pressure applying section of the strap which is wrapped around the wounded limb to the free end of the strap, causing the free end to be considerably thinner than the pressure applying section.