A balloon-expandable prosthetic aortic heart valve, comprising: a radially collapsible and expandable annular frame; a first flexible leaflet and a second flexible leaflet that come together at a commissure; wherein at the commissure: the frame comprises first and second vertical struts (404, 406), the first and second vertical struts (404, 406) being spaced apart from each other so as to define an opening therebetween for receiving at least a portion of the first flexible leaflet and at least a portion of the second flexible leaflet; the first and second leaflets (106a, 106b) are inserted and captured between the first and second vertical struts (404, 406); a portion of the first flexible leaflet is attached to a first cloth portion, wherein the first leaflet is wrapped around at least a portion of the first vertical strut so that a portion of the first leaflet that is not attached to the first cloth portion extends radially inwards into the interior of the frame, and wherein the first cloth portion is wrapped around at least a portion of the first vertical strut to attach the first flexible leaflet to the frame; and a portion of the second flexible leaflet is attached to a second cloth portion, wherein the second leaflet is wrapped around at least a portion of the second vertical strut so that a portion of the second leaflet that is not attached to the second cloth portion extends radially inwards into the interior of the frame, and wherein the second cloth portion is wrapped around the second vertical strut to attach the second leaflet to the frame. a radially collapsible and expandable annular frame; a first flexible leaflet and a second flexible leaflet that come together at a commissure; wherein at the commissure: the frame comprises first and second vertical struts (404, 406), the first and second vertical struts (404, 406) being spaced apart from each other so as to define an opening therebetween for receiving at least a portion of the first flexible leaflet and at least a portion of the second flexible leaflet; the first and second leaflets (106a, 106b) are inserted and captured between the first and second vertical struts (404, 406); a portion of the first flexible leaflet is attached to a first cloth portion, wherein the first leaflet is wrapped around at least a portion of the first vertical strut so that a portion of the first leaflet that is not attached to the first cloth portion extends radially inwards into the interior of the frame, and wherein the first cloth portion is wrapped around at least a portion of the first vertical strut to attach the first flexible leaflet to the frame; and a portion of the second flexible leaflet is attached to a second cloth portion, wherein the second leaflet is wrapped around at least a portion of the second vertical strut so that a portion of the second leaflet that is not attached to the second cloth portion extends radially inwards into the interior of the frame, and wherein the second cloth portion is wrapped around the second vertical strut to attach the second leaflet to the frame. the frame comprises first and second vertical struts (404, 406), the first and second vertical struts (404, 406) being spaced apart from each other so as to define an opening therebetween for receiving at least a portion of the first flexible leaflet and at least a portion of the second flexible leaflet; the first and second leaflets (106a, 106b) are inserted and captured between the first and second vertical struts (404, 406); a portion of the first flexible leaflet is attached to a first cloth portion, wherein the first leaflet is wrapped around at least a portion of the first vertical strut so that a portion of the first leaflet that is not attached to the first cloth portion extends radially inwards into the interior of the frame, and wherein the first cloth portion is wrapped around at least a portion of the first vertical strut to attach the first flexible leaflet to the frame; and a portion of the second flexible leaflet is attached to a second cloth portion, wherein the second leaflet is wrapped around at least a portion of the second vertical strut so that a portion of the second leaflet that is not attached to the second cloth portion extends radially inwards into the interior of the frame, and wherein the second cloth portion is wrapped around the second vertical strut to attach the second leaflet to the frame.