A vortex flowmeter for measuring fluid flow includes a conduit having a wall surrounding a bore for carrying the fluid along a bore axis. A pivoting member moves in response to vortices in the fluid and extends from a hole in the wall into the bore, and sensing means is provided for sensing the motion of the pivoting member to provide a flow indicative output. In one embodiment, a torsional pin is disposed in the hole and couples to the pivoting member, and further has a first pin end attached to the wall. In another embodiment a diaphragm extending across the hole, together with the conduit wall and the pivoting member, are integrally formed from a material so as to present an unbroken overall surface to the fluid and to reduce crevices or gaps in which portions of the fluid can lodge. In another embodiment the pivoting member is at least a portion of a downstream extremity of a body disposed in the bore. The body includes, in addition to the downstream extremity, an upstream extremity and a thinned area which flexes to permit motion of the pivoting member. In still other embodiments, the conduit is eliminated and replaced by a seating ring adapted to mate with a port of a conduit.