This powder-classifying apparatus has: a centrifugation chamber configured so as to be sandwiched between two opposing members; an air supply unit that supplies air into the centrifugation chamber and generates a swirl flow; a raw material supply unit that supplies raw-material powder into the swirl flow; a fine powder recovery unit having an opening part through which air that includes fine powder classified within the centrifugation chamber is ejected to outside of the centrifugation chamber; a coarse powder recovery unit provided to the outer edge part of the centrifugation chamber, for ejecting classified coarse powder to outside of the centrifugation chamber; and an annular slit provided to at least one of the members that constitute the centrifugation chamber, the slit being provided in a region between the center part of the centrifugation chamber and the outer edge part.