The combination consists of a flat mopping device with a holder (1) consisting essentially of a one-piece plate having a mopping insert (5) fitted on the floor side and a swivelling handle socket (4) on the other side. The combination also has a pressing device (12; 14) for the mopping insert. The floor side of the plate-like holder (1) is a flat surface. The holder (1) is rigid and the mopping insert (5) consists essentially of a sponge, mainly of cotton and vicose, applied over the entire area to the floor side of the holder (1) and having a water absorption capacity of at least 600 % and especially 1,000 % of its own weight. At least on the side towards the floor, the mopping insert (5) has sliding aids (7; 9). The pressing device takes the form of a sieve-like plate (12; 16) and is in particular designed to be suspended in a bucket (11). The combination makes it possible to avoid contact between the skin and the dirty washing water. The mopping insert (5) can be squeezed out without any great effort. High cleaning performance is achieved. The combination is also maoeuvrable enough to allow the easy and complete cleaning of surfaces beneath overhangs and corners.