An object is to provide a variable-geometry exhaust turbine whereby it is possible to prevent deformation and damage to a nozzle support under a high temperature. A variable-geometry exhaust turbine 1 includes: a nozzle mount 2, a nozzle support 6 including a first end portion 6a joined to the first surface 2a of the nozzle mount 2, a nozzle plate 4 including the first surface 2a joined to the second end portion 6b of the nozzle support 6 and supported so as to face the nozzle mount 2 at a distance, and the opposite second surface 4b facing an exhaust-as channel 20 through which exhaust gas flows, and a plurality of nozzle vanes 8 supported rotatably between the nozzle mount 2 and the nozzle plate 4. The nozzle support 6 is capable of tilting along a radial direction so as to absorb a relative displacement in the radial direction between the nozzle mount 2 and the nozzle plate 4 due to thermal expansion.
