The invention provides devices, systems and methods for clamping arteries which are useful in reducing or abolishing blood flow in an artery, and may be used to control hemorrhage following a caesarian delivery. A clamping device embodying features of the invention includes a pair of clamping members with opposed pressure-applying members having facing pressure-applying surfaces, at least one of which is a yieldable pressure-applying surface. The yieldable pressure-applying surface is preferably resilient. The clamping members are configured to adjust the distance between pressure-applying surfaces, and a blood flow sensor is disposed on at least one of the pressure-applying members to aid in locating the target artery and also to monitor blood flow through the artery. The clamping device is particularly suitable for occluding uterine arteries by compressing the broad ligament which contains the uterine artery and which is connected to the patient's uterus with the arterial clamp.