  This paper reports the cross section measurements for the process ep
$\rightarrow$ e~\jpsi~p for $Q^2 < 4$ GeV$^2$ at $\sqrt s = 296$ GeV, based on
an integrated luminosity of about 0.5~pb$^{-1}$, using the ZEUS detector. The
\jpsi~was detected in its $\rm e^{+}e^{-}$ and $\rm \mu^{+}\mu^{-}$ decay
modes. The photoproduction cross section was measured to be $52^{ \
+7}_{-12}\pm 10$~nb at an average $\gamma$p centre of mass energy of 67 GeV and
$71^{+13}_{-20}\pm 12$~nb at 114 GeV. The significant rise of the cross section
compared to lower energy measurements is not in agreement with VDM models, but
can be described by QCD inspired models if a rise in the gluon momentum density
at low $x$ in the proton is assumed.
