The present invention relates to a laundry treating machine (1) comprising a casing (2) accommodating a laundry chamber (7) suitable for receiving laundry to be treated and a closing door (8) provided for allowing access to the chamber (7). The machine (1) is provided with a cover (20) which is connected to the casing (2) by means of at least one hinge (30, 30') so that it can swing between a closed position and an opened position. The hinge (30, 30') is structured for detaching the cover (20) from the casing (2) when the cover (20) swings in a position beyond the opened position.