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We present Atacama Large Millimeter/submillimeter Array (ALMA) observationsof $\mathrm{^{13}CO(J=1-0)}$ line and 104 GHz continuum emission from NGC 604,a giant HII region (GHR) in the nearby spiral galaxy M33. Our high spatialresolution images ( 3.2"$\times$ 2.4", corresponding to $13 \times 10$ pcphysical scale) allow us to detect fifteen molecular clouds. We find spatialoffsets between the $^{13}CO$ and 104 GHz continuum emission and also detectcontinuum emission near the centre of the GHR. The identified molecular cloudshave sizes ranging from 5-21 pc, linewidths of 0.3-3.0 $\mathrm{kms^{-1}}$ andluminosity-derived masses of (0.4-80.5) $\times 10^3$ M$_{\bigodot}$. Thesemolecular clouds are in near virial equilibrium, with a spearman correlationcoefficient of 0.98. The linewidth-size relationship for these clouds is offsetfrom the corresponding relations for the Milky Way and for NGC 300, althoughthis may be an artefact of the dendrogram process.

ALMA $\mathrm{^{13}CO}$(J=1-0) Observations of NGC 604 in M33: Physical Properties of Molecular Clouds