A method of minimally invasively replacing a cardiac valve of a patient including inserting a delivery catheter intraluminally, inserting a valve resecting instrument intraluminally through the delivery catheter to a position adjacent the cardiac valve of a patient, manipulating the valve resecting instrument to resect the cardiac valve, removing the resected valve through the delivery catheter, and providing a delivery instrument having a replacement valve contained therein. The delivery instrument is advanced into the delivery catheter and intraluminally so that a distal end portion of the instrument is adjacent an annulus of a patient, and a first portion of the valve is exposed from the delivery instrument to position it on a first side of the annulus, and thereafter a second portion of the valve is exposed to position it on a second side of the annulus.