An apparatus for electrokinetically separating drilling mud into liquid and solid phases, comprising a casing having an inlet for drilling mud and outlets for separated phases thereof and accommodating electrodes connected to the negative terminal and to the positive terminal respectively, of a d-c source, characterized in that the electrode connected to the negative terminal of the d-c source (8) comprises a conveyor screw (4) having a cylindrical portion (5) and an adjacent conical portion (6), the screw being installed in the casing (1) which forms the electrode connected to the positive terminal of the d-c source (8) and has respective cylindrical (10a, 10b, 10c) and conical (11) portions, the outlet (13) for solid phase of drilling mud being provided at the end of the conical portion (11) of the casing (1), and in that there is provided a receptacle (14) for collecting solid phase of drilling mud communicating with the outlet (13) for solid phase of drilling mud provided in the casing (1).