This is a device, belonging to the medical and hospital artifacts industry, developed to accelerate the hemostatic process for patients undergoing radial punctures, partially compressing the artery subjected to treatment; said cryo-hemostatic device is essentially presented in the form of a wristband (1), providing end bands (2) providing velcro-based closing, interconnected by an intermediate band (3) below which a first cryogenic reservoir pad is located (4), which can be filled with a saline substance by the action of a syringe connected to the first connection nipple (5) attached to the first tube (6), flanked by the second external reservoir pad (7), also provided with a second connection nipple (8), attached to the second tube (9).