  Associative photoproduction of $\omega$-meson and $N^{*}(1440)$ on nucleons,
$\gamma+N\to\omega+N^{*}(1440)$, in the near threshold region is investigated
in a framework employing effective Lagrangians. Besides $\pi$-exchange in
t-channel, baryon exchanges, i.e. N- and $N^{*}$-exchanges, in the s- and
u-channels are also taken into account in calculations of differential
cross-section and beam asymmetry. Important inputs of this model are the vector
and tensor coupling constants of $\omega NN^{*}(1440)$-vertex, which are
assumed to be equal to the values of these couplings for $\omega NN$ vertex.
Using our previous estimation of $\omega NN$ coupling constants obtained from a
fit to available experimental data on photoproduction of $\omega$ meson in the
near threshold region, we produce the necessary numerical predictions for
different observables in $\gamma+N\to\omega+N^{*}(1440)$. Numerical results
shows that at low $|$t$|$ dominant contribution comes from t-channel
$\pi$-exchange while effects of nucleon and $N^{*}(1440)$ pole terms can be
seen at large $|t|$. Our predictions for the differential cross section and
beam asymmetry for the processes $\gamma+N\to\omega+N^{*}(1440)$, where N is
proton and neutron at $E_{\gamma}=2.5$ GeV are presented with zero width
approximation and also with the inclusion of width effects of $N^{*}(1440)$.
