The position sensitivity of two large volume (1¿¿ ¿¿ 1¿¿ and 3¿¿ ¿¿ 3¿¿) LaBr3:Ce crystals has been measured using collimated beams of 662 keV ¿¿-rays. The crystals have been coupled to a Position Sensitive Photo Multiplier Tube (PSPMT) and/or shielded phototube. The results indicate that, in the case of 662 keV ¿¿ -rays, both crystals should allow identification of the the position of the ¿¿-ray first interaction with a 1-2 cm resolution. Similar tests have been done in the past using 140 keV ¿¿-rays and no sensitivity was found. Using GEANT4 simulations we confirmed these results.