The document securization method includes: a step of printing a distribution of dots on the document, the printing, as a result of unanticipated unknowns in printing, causing an unpredictable variation, dot by dot, of at least one geometric characteristic of the printed dots and prior to the print step, a step of generating the distribution of dots so that dots of the distribution have at least one geometric characteristic that varies among dots, the geometric amplitude of the generated variation having the order of magnitude of the unpredictable variation. Preferably during the generation step, in the dot distribution: at least half the dots of the distribution are not laterally juxtaposed to four other dots of the dot distribution, and at least one dimension of at least one part of the dots of the dot distribution is of the same order of magnitude as the average for the absolute value of the unpredictable variation.