We present the results of a search for the rare decays B→hνν, where h stands for K+,KS0,K∗+,K∗0,π+,π0,ρ+ and ρ0. The results are obtained with 772×106 BB pairs collected with the Belle detector at the KEKB e+e- collider. We reconstruct one B meson in a semileptonic decay and require a single h meson but nothing else on the signal side. We observe no significant signal and set upper limits on the branching fractions. The limits set on the B0→KS0νν, B0→K∗0νν, B+→π+νν, B0→π0νν, B+→ρ+νν, and B0→ρ0νν channels are the world's most stringent.