An apparatus is provided for selectively destroying dividing cells in living tissue formed of dividing cells and non-dividing cells. The dividing cells contain polarizable intracellular members and during late anaphase or telophase, the dividing cells are connected to one another by a cleavage furrow. The apparatus includes a generator and insulated electrodes for subjecting the living tissue to electric field conditions sufficient to cause movement of the polarizable intracellular members toward the cleavage furrow in response to a non-homogeneous electric field being induced in the dividing cells. The non-homogeneous electric field produces an increased density electric field in the region of the cleavage furrow. The movement of the polarizable intracellular intracellular members towards the cleavage furrow causes the breakdown thereof which results in the destruction of the dividing cells, while the non-dividing cells of the living tissue remain intact.