The object of the invention is a method and the corresponding device thereof for recognition of persons incorporating, as biometric constant and determinant for each individual, the irregularities of the map of the posterior surface of the cornea, being different in each individual. The invention is based on taking an image exclusively of the second ocular dioptric with the objective of determining the irregularities of the surface map thereof with respect to a standardised surface (sphere, ellipsoid, torus, etc.) and quantifying them, yielding a set of attributes characteristic of each person utilised as a system of authentication, that is to say utilising the variations and calculations carried out therewith as biometric minutiae. Taking an image is of proven safety insofar as it may be taken without any contraindication whatsoever and as many times as necessary.