An air pressure-controlled inflatable compression device designed to be worn around the wrist to supply sufficient compression to control bleeding from an arteriotomy in the radial artery, while allowing blood to flow through the radial artery from the heart to the hand is provided. The device contains a bladder with a controlled inflation mechanism and a pressure sensor or indicator. The desired inflation pressure will be determined based on the blood pressure of the patient. The bladder pressure may be determined by a clinician based on the patient's vital statistics or the device may index the pressure using a pump and valve based on an electronic blood pressure sensor and a microprocessor controller. The length of time that the band compresses the artery will be determined by a clinician or microprocessor controlled.