A catheter system and method are described for stenting a vessel at a bifurcation or sidebranch of the vessel. The catheter system includes a first balloon catheter, a second balloon catheter and a releasable linking device for holding the first and second balloon catheters arranged in a side-by-side configuration and aligned with one another along a longitudinal axis. The linking device allows the catheter system to be advanced as a unit and helps prevent premature or inadvertent dislodgement of the stent from the catheters, yet is releasable so that one or both of the balloon catheters can be released from the linking device and maneuvered separately from the rest of the catheter system when desired. The method utilizes the described catheter system for stenting bifurcated vessels using a modified “kissing balloons” technique.