A dishwasher door closing device (10; 110) includes an engagement element (11; 111), fitted on the casing (C) of the household appliance (W) releasably held by a retaining element (16) on the door (D). The engagement element (11; 111) includes a support body (12), a catch (14) releasably coupled to the retaining element (16) moving between a refracted position coupled to the retaining element (16) and the door (D) is closed, and an extracted position coupled to the retaining element (16) and the door (D) is in a pre-opening condition. A stop mechanism (18) tends to move from a release condition, in which it (18) frees the catch (14) to move from the retracted position to the extracted position, to a locking position and (18) holds the catch (14). An electrically-operated actuator system (20) controls passage of the stop mechanism (18) from the locking position to the release position.