  We present the preliminary result of a search for the decay of $B^0\to
K^{*+}\rho^-$. The data were recorded with the $BaBar$ detector at the PEPII
collider and correspond to 123 million $B\bar{B}$ pairs produced in the
$e^+e^-$ annihilation through the $\Upsilon(4S)$ resonance. We obtain an upper
limit on the branching fraction for this decay of ${\cal B}(B^0\to
K^{*+}\rho^-) <24 \times 10^{-6}$ (90% C.L.). All results are preliminary.
