A method for the separation of leukocytes in a sample of blood components of a subject, removing non-leukocyte blood components, such as plasma, platelets and erythrocytes, where the sample comprises leukocytes. The method consists of: i) introducing the sample of blood components comprising leukocytes into a tangential flow filtration device consisting of: a collecting unit (1) having a cylindrical cross flow chamber (3), a chamber of filtering (4) and a filter (5) arranged between them, so that the filter (5) communicates the fluid of the cross flow chamber (3) with the filtering chamber (4); the cylindrical cross flow chamber (3) having an inlet (6) and an outlet (7), the inlet (6) being arranged to introduce the sample into the cross flow chamber (3) and parallel to the filter surface (5), and the outlet (7) located in front of the center of the filter (5) and perpendicular to the surface of the filter (5); where the sample is introduced into the cross flow chamber at an inlet rate of between 5 and 100 times the filtration rate and the sample flows swirling in the cross flow chamber; the filter (5) has a diameter substantially equal to the diameter of the cross flow chamber, an average pore size of 3 to 7 microns, the pore size variability being +/- 20%; ii) subjecting the sample to a substantially parallel cross flow of the filter (5); iii) subjecting the fluid to filtration through the filter (5); and iv) selectively remove non-leukocyte blood components from the sample, in order to form a cell population enriched in leukocytes.Un método para la separación de leucocitos en una muestra de componentes sanguíneos de un sujeto, retirando los componentes sanguíneos no leucocitarios, tales como plasma, plaquetas y eritrocitos, donde la muestra comprende leucocitos. El método consiste en: i) introducir la muestra de componentes sanguíneos que comprende leucocitos en un dispositivo de filtración de flujo tangencial que consta de: una unidad colectora (1) que dispone d