The invention relates to a removable lingual- vestibular dental alignment device comprising an assembly of independent caps (12). The inner part of each cover (12) includes a fissure (14) for coupling to a fixing element (21, 24 , and 27) adhered to the tooth (20) and outer elements (13) facilitating the crossing of the dental arch (16) , having a circular , square or rectangular cross- section. The invention also relates to a method for producing the caps (12), that includes scanning the mould of the denture and working on a virtual mould in order to include the corrective elements. The caps (12 , 35) are produced after printing the result of the denture (9) with the different elements and subsequent stamping method or from the printing of a file corresponding to a virtual cap produced on the virtual denture (8) that includes the virtual cuboids (4) and virtual half -spheres (5).