A radially expansible annular stent is disclosed. The stent comprises a plurality of stenting turns around a lumen centred on a longitudinal axis. Adjacent turns of the stent are joined by connector struts. The stent annulus has a wall thickness related to the material from which it is formed. The radial thickness of the connector struts is smaller than that of the stent annulus. A method of making such a stent is also disclosed. The method includes cutting the connector struts from a tubular workpiece with a laser beam. The laser beam is aimed so as to be offset from a longitudinal axis of the workpiece to provide the reduced radial thickness of the connector struts.