  The population of classical novae in the Magellanic Clouds was poorly known
because of a lack of systematic studies. There were some suggestions that nova
rates per unit mass in the Magellanic Clouds were higher than in any other
galaxy. Here, we present an analysis of data collected over 16 years by the
OGLE survey with the aim of characterizing the nova population in the Clouds.
We found 20 eruptions of novae, half of which are new discoveries. We robustly
measure nova rates of $2.4 \pm 0.8$ yr$^{-1}$ (LMC) and $0.9 \pm 0.4$ yr$^{-1}$
(SMC) and confirm that the K-band luminosity-specific nova rates in both Clouds
are 2-3 times higher than in other galaxies. This can be explained by the star
formation history in the Magellanic Clouds, specifically the re-ignition of the
star formation rate a few Gyr ago. We also present the discovery of the
intriguing system OGLE-MBR133.25.1160 which mimics recurrent nova eruptions.
