A hemostatic device configured to be applied to a wrist of a patient, the hemostatic device comprising: a flexible band to be applied to the wrist of the patient in a wrapped state in which the flexible band is wrapped around at least a portion of the wrist of the patient to apply the hemostatic device to the wrist of the patient at a site where bleeding is to be stopped; a compression member made of a material more rigid than the flexible band, the compression member is captured in the flexible band so that when the flexible band is in the wrapped state the compression member is positioned on the wrist of the patient at the site on the wrist where bleeding is to be stopped, the compression member possessing an inner peripheral side which faces toward the wrist of the patient when the flexible band is in the wrapped state, portions of the inner peripheral side of the compression member being curved portions that are curved toward the inner peripheral side; a fastener for securing the band in a wrapped state to the patient's wrist; and an inflatable first balloon that is inflatable upon introducing a fluid into the first balloon, the first balloon being located on the inner peripheral side of the compression member at a location deviated to a center portion of the compression member from a first end of the compression member in a lengthwise direction of the flexible band; wherein the portions of the inner peripheral side of the compression member that are curved are respectively between the first end of the compression member and the center portion of the compression member, and between the center and a second end of the curved compression member; wherein the first balloon is connected to the band by a first connector on a first linear side of the first balloon; and wherein an axis of the compression member traverses from the first end of the compression member, through the center, to a second end of the compression member; characterized in that the first linear side of the first balloon is adjacent a center of the compression member and perpendicular to the axis of the compression member. a flexible band to be applied to the wrist of the patient in a wrapped state in which the flexible band is wrapped around at least a portion of the wrist of the patient to apply the hemostatic device to the wrist of the patient at a site where bleeding is to be stopped; a compression member made of a material more rigid than the flexible band, the compression member is captured in the flexible band so that when the flexible band is in the wrapped state the compression member is positioned on the wrist of the patient at the site on the wrist where bleeding is to be stopped, the compression member possessing an inner peripheral side which faces toward the wrist of the patient when the flexible band is in the wrapped state, portions of the inner peripheral side of the compression member being curved portions that are curved toward the inner peripheral side; a fastener for securing the band in a wrapped state to the patient's wrist; and an inflatable first balloon that is inflatable upon introducing a fluid into the first balloon, the first balloon being located on the inner peripheral side of the compression member at a location deviated to a center portion of the compression member from a first end of the compression member in a lengthwise direction of the flexible band; wherein the portions of the inner peripheral side of the compression member that are curved are respectively between the first end of the compression member and the center portion of the compression member, and between the center and a second end of the curved compression member; wherein the first balloon is connected to the band by a first connector on a first linear side of the first balloon; and wherein an axis of the compression member traverses from the first end of the compression member, through the center, to a second end of the compression member; characterized in that the first linear side of the first balloon is adjacent a center of the compression member and perpendicular to the axis of the compression member.