Using the Parkes radio telescope at an observing frequency of 640 MHz, we have detected radio pulses from the 50 ms pulsar, PSR B0540-69, which is associated with the supernova remnant 0540-693 in the Large Magellanic Cloud. This pulsar was discovered at X-ray wavelengths and subsequently detected in the optical band. It has a mean flux density of only 0.4 mJy and a broad pulse profile, similar to that at optical and X-ray wavelengths. The dispersion measure of 146 cm-3 pc is somewhat higher than, but not inconsistent with, that for other pulsars located in the Magellanic Clouds.