  We study the role of the nucleon resonances ($N^*$) in $\omega$
photoproduction by using the quark model resonance parameters predicted by
Capstick and Roberts. The employed $\gamma N \to N^*$ and $N^* \to \omega N$
amplitudes include the configuration mixing effects due to the residual
quark-quark interactions. The contributions from the nucleon resonances are
found to be important in the differential cross sections at large scattering
angles and various spin observables. In particular, the parity asymmetry and
beam-target double asymmetry at forward scattering angles are suggested for a
crucial test of our predictions. The dominant contributions are found to be
from $N\frac32^+ (1910)$, a missing resonance, and $N\frac32^- (1960)$ which is
identified as the $D_{13}(2080)$ of the Particle Data Group.
