Using the pulse arrival time measurements of the pulsar PSR B0329+54 made b
etween 1994 and 1998 with the 100 m Effelsberg and the 32 m Torun radio tel
escopes supplemented with the archival JPL data, we demonstrate that the pl
anets suggested to orbit this similar to 5 x 10(6) yr old object are unlike
ly to be real. The previously proposed timing models, including 3 and 16.8
yr orbits of terrestrial-mass planets, fail to predict the pulse arrival ti
mes at later epochs. If this pulsar has planetary companions, the remaining
possibilities include low-mass objects that are below the current detectio
n threshold, multiple terrestrial-mass planets in orbits whose superpositio
n could produce the timing noiselike effects, and any planets with orbital
periods significantly exceeding the 30 yr data span. However, it is likely
that the observed variations in timing residuals of PSR B0329+54 are caused
by spin irregularities that are intrinsic to this relatively young neutron
star.