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We perturbatively construct a three-dimensional rotating AdS black hole witha real scalar hair. We choose the mass of a scalar field slightly above theBreitenlohner-Freedman bound and impose a more general boundary condition forthe bulk scalar field at AdS infinity. We first show that rotating BTZ blackholes are unstable against superradiant modes under our more general boundarycondition. Next we construct a rotating hairy black hole perturbatively withrespect to a small amplitude $\epsilon$ of the scalar field, up to$O(\epsilon^4)$. The lumps of non-linearly perturbed geometry admit only oneKilling vector field and co-rotate with the black hole, and it shows nodissipation. We numerically show that the entropy of our hairy black hole islarger than that of the BTZ black hole with the same energy and the angularmomentum. This indicates, at least in the perturbative level, that our rotatinghairy black hole in lumpy geometry can be the endpoint of the superradiantinstability.

A rotating hairy AdS3 black hole with the metric having only one Killing vector field