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The superconducting property of sodium cobalt oxyhydrate, ${\mathrm{Na}}_{0.35}{\mathrm{CoO}}_{2}\ifmmode\cdot\else\textperiodcentered\fi{}1.3{\mathrm{H}}_{2}\mathrm{O}\phantom{\rule{0.2em}{0ex}}({T}_{c}=4.5\phantom{\rule{0.3em}{0ex}}\mathrm{K})$, has been studied by means of muon spin rotation/relaxation down to $2\phantom{\rule{0.3em}{0ex}}\mathrm{K}$. It was found that the zero-field muon spin relaxation rate is independent of the temperature, indicating that no static magnetism appears in this compound, at least above $2\phantom{\rule{0.3em}{0ex}}\mathrm{K}$. The result …