A rail-grinding machine (1) which can be displaced manually on the rails (2) of a track in a longitudinal direction and comprises a machine frame (3), which can be supported on a rail (2) by means of guide rollers (4), and a grinding assembly (11), which is mounted on the machine frame (3) so as to be pivotable about a pivot axis (7) extending in the longitudinal direction. The rail-grinding machine has a grinding drive motor (12) having a drive shaft for a rotary grinding tool (14) which can be arranged under the drive motor (12), wherein a fan (31) is arranged above the grinding tool (14) and can convey air downwards past the drive motor (12) and the grinding tool (14).
