An cardioplegic fluid delivery catheter includes an expandable member for occluding the ascending aorta of a patient. A length of the catheter allows the distal end to be within the ascending aorta while the proximal end extends from a peripheral artery. The delivery catheter has a multi-lumen construction with a primary lumen extending configured to allow a cardioplegic fluid to be delivered to the aorta. Secondary lumens provide for balloon inflation and aortic root pressure monitoring. The delivery catheter includes a shaft having a pre-determined curve profile at a distal end of the delivery catheter. The pre-determined curve profile generally corresponds to the curve of the bottom surface of the aortic arch. The shaft may be eccentric to the expandable member such that retraction of the shaft causes a distal tip to be parallel within the ascending aorta.