A bifurcation stent system includes a pair of self-expanding stents. Each stent has a C-shaped body section having a generally semicircular cross-section along its length and an O-shaped body section having a circular cross-section along its length. The stents are deployed in vivo such that the edges of the C-shaped body sections abut each other to form a tubular scaffold in a Y-shaped formation that conforms to the bifurcation. In order to connect the stents in vivo, the C-shaped body sections are configured to include a ball and socket connection there between. The C-shaped body sections align and abut to form a tubular scaffold that extends in the main vessel of the bifurcation, while the O-shaped body sections are tubular scaffolds that extend into the respective branch legs of the bifurcation.