Hemorrhage means any bleeding regardless of whether it is active or past. When a blood vessel is injured it bleeds, and such bleeding is medically referred to as a hemorrhage. When a hemorrhage occurs in the brain it is labeled either a cerebral hemorrhage, intracerebral hemorrhage, or intra-axial hemorrhage.When a hemorrhage occurs in the brain it is very serious. Because of the nature of the brain resting in a confined space, the extra collection of blood leads to increased pressure on brain cells and brain tissue. In serious cases medical professionals will surgically drain the hemorrhage to alleviate the pressure on the brain.