We show that the proper motion of a pulsating white dwarf results in a
secular change of the radial velocity of the star and consequently co
ntributes to the observed P. The proper motion term is always positive
and for a typical DAV white dwarf it is of the order of 10(-14) divid
ed by 10(-15) ss(-1). This effect is thus comparable with the expected
evolutionary period change in these stars due to their cooling, which
also produces a positive period derivative, and has to be taken into
account when the intrinsic P is to be properly determined from the obs
erved period change.