A multi-stage centrifugal compressor includes: a rotary shaft that is configured to rotate around an axis; a plurality of stages of impellers that are fixed to the rotary shaft and are configured to integrally rotate to compress and deliver a fluid, which flows into the impellers from an upstream side in an axial direction, to a radial outer side; a casing including a return flow path that is configured to guide the fluid, which is compressed and delivered from an impeller on a preceding stage side, toward a radial inner side, and an introduction flow path that is connected to a downstream side of the return flow path and is configured to divert the fluid and introduce the fluid to an impeller on a succeeding stage side; and return vanes that are arranged in the return flow path while being spaced apart from each other in a circumferential direction.