A method for aligning a stent with a stent support includes the steps of (1) placing a stent support and a stent mounted on the stent support in a vertically position with the stent support's first support element at a lower position and the stent support's second support element at an upper position; (2) obtaining a digital image of the stent support and stent; (3) analyzing the digital image of the stent support and stent to compute the vertical position of the stent's upper end; (4) computing a desired position of the second support element based on the position of the stent's upper end; and (5) using a positioning device to move the second support element to the desired position. The movement of the second support element causes the conical sections of the first and second support elements to engage the respective ends of the stent to center the stent around a core element of the stent support and to secure the stent in a longitudinal direction of the stent support.