A stemware holder for holding a stem of a stemware in a wire-frame dish rack. The dish rack comprises a bottom wall formed by wires with multiple tines extending from the bottom wall. The stemware holder comprises a stem holder configured to hold the stem, a rack mount configured to couple the stem holder to the dish rack, and a radial lock configured to releasably hold the stem holder at multiple radial positions relative to an axis generally perpendicular to the bottom wall when the stemware holder is mounted to the rack.