We have measured the linear optical (V band) polarization in the nebula surrounding the Large Magellanic Cloud pulsar 0540-693 and find a positive result (integrated over the nebula) of P = 5.6% ± 1.0%, oriented at an angle 79° ± 5° east of north. Our technique corrects for but does not determine the interstellar polarization, which may be of order 2%. This result is similar to the integrated optical polarization of the Crab Nebula and is strong confirmation of a synchrotron origin for the 0540 nebular emission.