A hand-held power tool (2) has a base housing (4) in which there is provided an operational unit (12) movable in a reciprocating manner along a operational axis (A) defining a first spatial axis (z) and spaced from a center of gravity (SP) of the hand-held power tool (2) in direction of a second spatial axis (y) which is perpendicular to the first spatial axis, (z), and further has a cover housing (18) which is held on the base housing (4) by decoupling elements and is fixedly connected to a main handle (24) and to side-handle connection element (28), with the decoupling elements having, in a projection perpendicular to a plane (Eyz) defined by the first spatial axis (z) and the second spatial axis (y), a first support device (19) which is located adjacent to the center of gravity and which holds the cover housing (18) on the base housing (4) so as to be displaceable along and pivotal in direction of the first spatial axis (z).