  Using the Very Large Array and the Pie Town antenna, we have measured the
position of the radio pulsar B1951+32 relative to nearby background radio
sources at four epochs between 1989 and 2000. These data show a clear motion
for the pulsar of (25 +/- 4) milliarcsec/yr at a position angle (252 +/- 7)
degrees (north through east), corresponding to a transverse velocity (240 +/-
40) km/s for a distance to the source of 2 kpc. The measured direction of
motion confirms that the pulsar is moving away from the center of its
associated supernova remnant, the first time that such a result has been
demonstrated. Independent of assumptions made about the pulsar birth-place, we
show that the measured proper motion implies an age for the pulsar of (64 +/-
18) kyr, somewhat less than its characteristic age of 107 kyr. This discrepancy
can be explained if the initial spin period of the pulsar was (27 +/- 6) ms.
