The invention relates to a method of fabricating a bipolar plate for fuel cell stacks, wherein the bipolar plate includes a circumferential frame made of an electrically non-conductive material and further includes an inner bipolar plate region which is enclosed by the frame, is made of the electrically non-conductive material and comprises channels for gases and, if required, for coolants, said method comprising the following procedural steps: A) Inserting an electrically conductive fabric into a tool for fabricating the bipolar plate, B) Introducing the electrically non-conductive material into the tool in order to form the frame and the inner bipolar plate region (3), the electrically non-conductive material extending through the fabric, C) Removing a molded bipolar plate from the tool, and D) Bending back the fabric on both sides which extends beyond the inner bipolar plate region so as to cause the fabric to cover the inner bipolar plate region made of the non-conductive material.