Disclosed is a process for making a self-aligning conductive via structure in a semiconductor device. The process includes forming a first interconnect metallization layer over an oxide layer. Forming an etch stop layer over the first interconnect metallization layer. Forming a conductive via metallization layer over the etch stop layer. Forming a hard mask layer over the conductive via metallization layer. The process further includes producing a conductive via and an interconnect line, where the conductive via is formed from a portion of the conductive via metallization layer, and the interconnect line is formed from a portion of the first interconnect metallization layer. The conductive via is substantially aligned with the underlying interconnect line.