A device for sorting of rare target cells in a biological sample comprises a first row of at least two laminar-flow fluidic chambers, each comprising an inlet connected to a reservoir of a biological solution and an outlet and a last row of laminar-flow fluidic chambers equal in number to the number of chambers of the first row. Each last row fluidic chamber comprises an inlet connected to an outlet of a chamber of the first row and an outlet. A reservoir for collecting solution is connected to each outlet of the fluidic chambers of the second row, at least one pump causing a sample of the solution to circulate in the fluidic chambers of the first row then of the last row, wherein the fluidic chambers include a surface functionalized with molecules, at least some of which able to bond with a receptor molecule borne by the target cells.