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Reverberation mapping is a robust method to measure the masses ofsupermassive black holes (SMBHs) outside of the local Universe. Measurements ofthe radius -- luminosity ($R-L$) relation using the Mg II emission line arecritical for determining these masses near the peak of quasar activity at $z\approx 1 - 2$, and for calibrating secondary mass estimators based on Mg IIthat can be applied to large samples with only single-epoch spectroscopy. Wepresent the first nine Mg II lags from our five-year Australian Dark EnergySurvey (OzDES) reverberation mapping program, which substantially improves thenumber and quality of Mg II lag measurements. As the Mg II feature is somewhatblended with iron emission, we model and subtract both the continuum and ironcontamination from the multi-epoch spectra before analyzing the Mg II line. Wealso develop a new method of quantifying correlated spectroscopic calibrationerrors based on our numerous, contemporaneous observations of F-stars. The lagmeasurements for seven of our nine sources are consistent with both theH$\beta$ and Mg II $R-L$ relations reported by previous studies. Oursimulations verify the lag reliability of our nine measurements, and weestimate that the median false positive rate of the lag measurements is $4\%$.

OzDES Reverberation Mapping Program: The first Mg II lags from five years of monitoring