Brain swelling was produced in monkeys and cats by the inflation af an epidural balloon against the parietal lobe. Resulting changes in intracranial pressure (ICP) were correlated to variation in systemic arterial pressure (SAP). Intracranial perfusion pressure (ICPP) defined as the difference between SAP and ICP, was found to vary with the degree of arterial hyper-and hypotension. The relationship between SAP and ICP can be explained by an existing equilibrium between extramural pressure and vessel wall circumferential tension. A positive perfusion pressure can exist in brain swelling as long as vessel wall tension is preserved and the degree of expanding brain tissue volume is held below certain limits.