A method for separating a plurality of deformable objects, such as biological cells or biological supramolecules such as DNA, in a liquid medium by use of an electrophoretic technique combined with hydrodynamic forces. The deformable objects are introduced into a channel, having a flow axis and a cross section at right angles to the flow axis, with the minimum size of the cross section being less than or equal to 50 pm; A hydrodynamic flow is defined a in the channel together with the application of an electric field in the channel, making it possible to move the deformable objects in the channel according to the flow axis and to separate them along the flow axis. A device suitable for implementing this method. The electrolyte used for the electrophoretic separation may be a non-Newtonian fluid with viscoelastic properties.