A method of delivering a prosthetic heart valve to the aortic valve annulus while a patient's heart is beating. The method includes accessing the left ventricle through an intercostal incision and forming a puncture in the left ventricle. A guidewire is advanced into the left ventricle and through the native aortic valve. An introducer sheath is passed over the guidewire and into the left ventricle. A prosthetic heart valve is advanced over the guidewire and through the introducer sheath using a delivery catheter. After positioning the prosthetic heart valve in the native aortic valve, the prosthetic heart valve is radially expanded in the aortic valve annulus for replacing the function of the native aortic valve.