We have measured the proper motion of the candidate optical counterpart of the old , nearby pulsar PSR B1929+10 , using a set of HST/STIS images collected in 2001 , 7.2 years after the epoch of the original FOC detection ( Pavlov et al . 1996 ) . The yearly displacement , \mu = 107.3 \pm 1 ~ { } mas~ { } yr ^ { -1 } along a position angle of 64.6 ^ { \circ } \pm 0.6 ^ { \circ } , is fully consistent with the most recent VLBA radio measurement . This result provides a robust confirmation of the identification of PSR B1929+10 in the optical band .