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We present results of a search for the decays $B^0 \to \ell^+\ell^-\gamma$($\ell=e$, $\mu$). The search is performed using $320\times 10^{6}$ $B\bar{B}$pairs collected at the $\Upsilon(4S)$ resonance with the BABAR detector at thePEP-II $B$ Factory at SLAC. We find no significant signal and set the followingbranching fraction upper limits at the 90% confidence level:$\mathcal{B}(B^0\to e^+e^-\gamma)<1.2\times 10^{-7}$ and $\mathcal{B}(B^0\to\mu^+\mu^-\gamma)<1.5\times 10^{-7}$.

Search for the Decays B0->e+e-gamma and B0->mu+mu-gamma