Modular base for composing installation for storage by stacking and handling of boxes, comprising: - a structural module, parallelepiped and vertically elongated, having a square or rectangular base with three functional sections along its height which constitute real pavements, one lower pavement defined as ground floor, one intermediate pavement defined as first floor and one upper pavement defined as support level; - the support level having two opposing edges equipped with support locks for stacked boxes; - the ground floor and the first floor are each equally provided with four rail segments and; - at least one lifting robot working on the rails of the ground floor; - at least one movement robot working on the rails of the first floor; - said structural module is mergable with other equal units adjusted to all or any of its four sides, this combination also coincides with alignment between all the rails and by creating ways in the four directions of each structural module and which constitute routes for the robots (9 and 10); - boxes sized to freely pass from the support level to the first floor and for being supported on the movement robot; - the lifting robot presents means (11, 37) to freely pass through the center of the movement robot and lowering and raising the stack of boxes; - the boxes have means of automatically driving the locks, suitable for releasing the stack of boxes during the moment of the vertical movement; - the lifting robot and the movement robot are equally provided with 2. a trolley with a running system on four sides, all of which able of upward and downward movement and suitable so that the running system of two opposing sides stay suspended, while the other are placed over the corresponding rails (7 or 8), so that this movement may allow a 90 degree change of direction so that said robots (9 and 10) may move over said rails (7 and 8) according to any desired route. - a structural module, parallelepiped and vertically elongated, having a square or rectangular base with three functional sections along its height which constitute real pavements, one lower pavement defined as ground floor, one intermediate pavement defined as first floor and one upper pavement defined as support level; - the support level having two opposing edges equipped with support locks for stacked boxes; - the ground floor and the first floor are each equally provided with four rail segments and; - at least one lifting robot working on the rails of the ground floor; - at least one movement robot working on the rails of the first floor; - said structural module is mergable with other equal units adjusted to all or any of its four sides, this combination also coincides with alignment between all the rails and by creating ways in the four directions of each structural module and which constitute routes for the robots (9 and 10); - boxes sized to freely pass from the support level to the first floor and for being supported on the movement robot; - the lifting robot presents means (11, 37) to freely pass through the center of the movement robot and lowering and raising the stack of boxes; - the boxes have means of automatically driving the locks, suitable for releasing the stack of boxes during the moment of the vertical movement; - the lifting robot and the movement robot are equally provided with 2. a trolley with a running system on four sides, all of which able of upward and downward movement and suitable so that the running system of two opposing sides stay suspended, while the other are placed over the corresponding rails (7 or 8), so that this movement may allow a 90 degree change of direction so that said robots (9 and 10) may move over said rails (7 and 8) according to any desired route.