An oscillating grinder (10) with a housing (12) a grinding sheet holder (14) having clamping means (20, 23; 200, 230; 334) for receiving a grinding sheet (16), whose grinding sheet ends (17, 19) can be clamped firmly to the grinding sheet holder (14), and in which the clamping means (20, 23; 200, 230; 334, 1334) are levers with a pivot axis (24; 224; 40; 440; 1440) supported on the grinding sheet holder side and clamping jaws (22; 220; 1222; 336, 338) that clamp the grinding sheet (16) on one end, preferably manually actuatable on the other end, can be equipped faster, more conveniently and more securely with a grinding sheet (16) by providing that one of the grinding sheet ends (19) for one-handed operation can be clamped solely by insertion between first clamping means (20, 23; 200, 230; 334; 1334), and the other grinding sheet end (17), likewise for one-handed operation, can be clamped after being placed in second clamping means (34; 334; 1334) and after their actuation; the grinding sheet (16) can be tensed tautly by its subsequent motion, together with the clamped grinding sheet end (17), in particular pivoting, away from the first clamping means (20, 23; 200, 230; 334; 1334).