  Results of timing measurements of the pulsar PSR B0329+54 obtained in
1968--2012 using the Big Scanning Antenna of the Pushchino Radio Astronomy
Observatory (at 102 and 111 MHz), the DSS 13 and DSS 14 telescopes of the Jet
Propulsion Laboratory (2388 MHz), and the 64 m telescope of the Kalyazin Radio
Astronomy Observatory (610 MHz) are presented. The astrometric and rotational
parameters of the pulsar are derived at a new epoch. Periodic variations in the
barycentric timing residuals have been found, which can be explained by the
presence of a planet orbiting the pulsar, with an orbital period $P_{1}$ = 27.8
yr, mass \textit{$m_{c}$}sin\textit{i} = 2$M_{\oplus}$, and orbital semi-major
axis $a$ = 10.26 AU. The results of this study do not confirm existence of a
proposed second planet with orbital period $P_{2}$ = 3 yr.
