The invention relates to a fuel cell (2) comprising at least one membrane/electrode unit (10) comprising a first electrode and a second electrode, which electrodes are separated from one another by a membrane, and comprising at least one polar plate (40) which comprises a first distribution region (50) for distributing a fuel to the first electrode and a second distribution region (60) for distributing an oxidation agent to the second electrode. The first electrode and the second electrode of the at least one membrane electrode unit (10) are electrically connected by means of a conductor (90). The invention also relates to a fuel cell stack (5) which comprises a plurality of the claimed fuel cells (2).