A stent system is provided for stenting a bifurcated vessel structure having a parent vessel and a daughter vessel. The stent system has a parent vessel stent and a daughter vessel stent. The parent vessel stent has a substantially tubular body that is configured to be deployed into the parent vessel. This body has an angular flap that is openable to extend into the daughter vessel. The daughter vessel stent has a substantially tubular body that is configured to be deployed through the flap in the parent vessel stent into the daughter vessel. The daughter vessel stent has an angled tail portion that is configured to overlap with the flap of the parent vessel stent when both stents are deployed in the vessel structure. A method of stenting using this system is also provided.