The invention relates to a removable lingual-vestibular dental alignment device comprising an assembly of independent caps (12). The inner part of each cap (12) includes a notch (14) for coupling to a fixing element (21, 24, and 27) adhered to the tooth (20) and outer elements (13) facilitating the passage of the dental arch (16) having a circular, square or rectangular section. Each cap (12) comprises a cuboid-shaped projection (13) comprising a prismatic base (17) that is wider than a perforated rectangular prism (18) resting on the prismatic base (17), such that the dental arch (16) passes through the perforated rectangular prism (18). The position and orientation of the cuboid projections (13) on each cap (12) can be configured in order to improve the effect the dental arch (16) will apply on the tooth (20) when it acts through the cuboid projections (13) of the cap (12).