Anti-reversal closing system for furniture drawers, with electronic locking module; that comprises means of locking/unlocking of the sliding parts that allow the opening of the drawers, and an electronic locking module to control the means of locking/unlocking and consists of: a) a support for fastening to the furniture on which a plate is fastened which serves as a guide for a mobile lock mechanism that moves until stopping on a stop (t) of the support; b) an electronic locking module (m) that is comprised of a casing, of a tab equipped with an arm; said tab can move linearly due to a motor that transfers the movement to a cam and on whose shaft it is supported constantly due to a force exerted by a tab spring; and of an electronic plate equipped with a first positioning sensor and a second positioning sensor; c) a cover of the guide on which there is a moving punch, with ledges to limit its linear movement on the cover of the guide and a punch spring that pushes said punch against the tab of the electronic locking module (m); the shaft (e) for movement of the punch passes smoothly below the stop (t) so that the movement toward the outside of the casing of the tab implies the positioning of the punch locking the space that exists between the stop (t) and the mobile lock mechanism, positioning the arm of the tab over the second sensor, and the movement toward the inside of the casing of the tab involves the unlocking of said space due to the reversal of the punch by action of the punch spring, positioning the arm of the tab over the first sensor, and if the user opens a door, the mobile lock mechanism is in its highest position; for this reason, there is no space between the mobile lock mechanism and the support for the punch to penetrate. a) a support for fastening to the furniture on which a plate is fastened which serves as a guide for a mobile lock mechanism that moves until stopping on a stop (t) of the support; b) an electronic locking module (m) that is comprised of a casing, of a tab equipped with an arm; said tab can move linearly due to a motor that transfers the movement to a cam and on whose shaft it is supported constantly due to a force exerted by a tab spring; and of an electronic plate equipped with a first positioning sensor and a second positioning sensor; c) a cover of the guide on which there is a moving punch, with ledges to limit its linear movement on the cover of the guide and a punch spring that pushes said punch against the tab of the electronic locking module (m); the shaft (e) for movement of the punch passes smoothly below the stop (t) so that the movement toward the outside of the casing of the tab implies the positioning of the punch locking the space that exists between the stop (t) and the mobile lock mechanism, positioning the arm of the tab over the second sensor, and the movement toward the inside of the casing of the tab involves the unlocking of said space due to the reversal of the punch by action of the punch spring, positioning the arm of the tab over the first sensor, and if the user opens a door, the mobile lock mechanism is in its highest position; for this reason, there is no space between the mobile lock mechanism and the support for the punch to penetrate.