Device (10; 110) for closing the door of a household appliance, in particular for a washing machine, such as a dishwasher; said door being adapted to close an inner chamber, which is obtained in a casing of said household appliance and communicates with the outside through an access opening; said device comprising an engagement element (11; 111), adapted to be fitted on either said casing and said door and adapted to be held in a releasable manner by a retaining element, adapted to be fitted on the other one between said door and said casing, so as to constrain said door to said casing, when using said household appliance; the engagement element (11; 111) comprising: - a support body, adapted to be fitted on one between said casing and said door; - a catch, adapted to be coupled in a releasable manner to said retaining element, and is mounted so as to move, with respect to said support body, between a retracted position, in which said catch is coupled to said retaining element and said door is in a complete closing condition, thus closing said access opening in a fluid-tight manner, and an extracted position, in which said catch is coupled to said retaining element and said door is in a pre-opening condition, thus being arranged at a distance from said access opening, so as to establish a fluid communication between said inner chamber and the outside of said casing; - a stop mechanism, which cooperates with that catch and is prone to pass from a release condition, in which it is adapted to set said catch free, thus allowing it to move from the retracted position to the extracted position, to a locking position, in which it is adapted to hold said catch in said retracted position; and - electrically-operated actuator means, adapted to control the passage of said stop mechanism from said locking position to said release position; said stop mechanism comprising: - a slider, which is mounted so as to move, with respect to said support body, from a locking position, in which it is adapted to hold said catch in said retracted position, to a release position, in which it allows the movement of said catch from said retracted position to said extracted position, due to an electrical excitation of said actuator means; - an elastic member tending to hold said slider in said locking position; said device being characterized in that said stop mechanism further comprises: - a cursor, which can be moved by said actuator means and is mounted so as to move, with respect to said support body, from a inactive position, in which it allows the passage of said slider from said release position to said locking position due to the action of said elastic member, to an active position, in which it drags said slides from said locking position to said release position against the action of said elastic member, when said actuator means are electrically excited; and - an elastic element, which holds said cursor in said inactive position. - a support body, adapted to be fitted on one between said casing and said door; - a catch, adapted to be coupled in a releasable manner to said retaining element, and is mounted so as to move, with respect to said support body, between a retracted position, in which said catch is coupled to said retaining element and said door is in a complete closing condition, thus closing said access opening in a fluid-tight manner, and an extracted position, in which said catch is coupled to said retaining element and said door is in a pre-opening condition, thus being arranged at a distance from said access opening, so as to establish a fluid communication between said inner chamber and the outside of said casing; - a stop mechanism, which cooperates with that catch and is prone to pass from a release condition, in which it is adapted to set said catch free, thus allowing it to move from the retracted position to the extracted position, to a locking position, in which it is adapted to hold said catch in said retracted position; and - electrically-operated actuator means, adapted to control the passage of said stop mechanism from said locking position to said release position; - a slider, which is mounted so as to move, with respect to said support body, from a locking position, in which it is adapted to hold said catch in said retracted position, to a release position, in which it allows the movement of said catch from said retracted position to said extracted position, due to an electrical excitation of said actuator means; - an elastic member tending to hold said slider in said locking position; - a cursor, which can be moved by said actuator means and is mounted so as to move, with respect to said support body, from a inactive position, in which it allows the passage of said slider from said release position to said locking position due to the action of said elastic member, to an active position, in which it drags said slides from said locking position to said release position against the action of said elastic member, when said actuator means are electrically excited; and - an elastic element, which holds said cursor in said inactive position.