A head (1) for a strip mop comprises a hollow dome-shaped body (3) which is attachable at its top to one end of an elongate mop handle (4). Web material is secured within the body (3) so that a portion hangs down from the base of the dome-shaped body to provide the cleaning substrate (2) of the mop. To facilitate access to confined areas of a surface that is being cleaned, such as corners, the base of the dome-shaped body (3) of the mop head has the general form of an equilateral triangle. A spacer (17, FIG. 4) is provided between two adjacent layers of the web material within the dome-shaped body, to enhance the volume of the cleaning substrate (2); and a peripheral skirt (8) of a more resilient material is provided at the base of the wall of the dome-shaped body (3) to reduce the risk of damage to surfaces that might be impacted by the mop head (1) when in use.