The design of bioresorbable vascular stents (BVS) capable of releasing nitric oxide (NO) at the implant site may enable BVS to mimic the antiplatelet, antiproliferative, and pro‐endothelial actions of NO, overcoming complications of BVS such as late thrombosis and restenosis. In this study, the fabrication of BVS composed of methacrylated poly(dodecanediol citrate‐co‐dodecanediol S‐nitroso‐mercaptosuccinate) (mP(DC‐co‐DMSNO)), a novel elastomeric, bioabsorbable, and photocurable copolyester, containing covalently bound S‐nitrosothiol groups in the carbon backbone of the polymer, is reported. The mP(DC‐co‐DMSNO) stents are manufactured via photoinduced 3D printing and allow deployment via a self‐expansion process from a balloon catheter. After deployment, hydration of the stents triggers the release of NO, which is maintained during the slow hydrolysis of the polymer. Real‐time NO release measurements show that by varying the copolyester composition and the strut geometry of the mP(DC‐co‐DMSNO) stents, it is possible to modulate their NO release rate in the range of 30–52 pmol min−1 cm−2. Preliminary biological assays in cell culture show that endothelial cells adhere to the surface of the stents and that NO release favors their endothelization. Thus, mP(DC‐co‐DMSNO) may emerge as a new platform for the fabrication of advanced BVS.