Methanol is a seed species of complex organic molecules that is of fundamental importance in astrochemistry. Although various isotopologues of CH
3OH have been detected in the interstellar medium (ISM), CH
317OH is only tentatively detected in Sgr~B2. To confirm the presence of CH
317OH in the ISM and to investigate its abundance, we search for its emission lines in the Orion~KL region. We have obtained image cubes covering the frequency ranges 236.40~GHz-236.65~GHz and 231.68~GHz-231.88~GHz using ALMA archival data observed toward the Orion~KL region. The column densities of CH
317OH and CH
318OH are estimated under the assumption of local thermodynamic equilibrium condition with fixed excitation temperatures at the two CH
318OH peaks, MeOH1 and MeOH2,. We have identified six emission lines of CH
317OH in MeOH1 and MeOH2 and confirmed that the line profiles and spatial distributions are consistent with those of CH
318OH. The abundance ratios of CH
318OH/CH
317OH are evaluated to be
∼3.4−3.5 and are similar to the canonical value of
18O/
17O
∼3−4 derived from CO observations in the Orion~KL region. We have compared the results with the previous study of CH
3OH and evaluated CH
316OH/CH
317OH ratios to be
∼2300−2500 at a resolution of
∼4~arcsec. The ratios are close to the
16O/
17O ratio in the local ISM. This result indicates that the CH
3OH isotopologues can serve as new tracers of oxygen isotope ratios in star-forming regions because the opacity of CH
3OH can be evaluated using transition lines spanning a wide range of line intensities. Moreover, this method enables us to study the star-formation history of our Galaxy with the aid of the Galactic chemical evolution models.