  We present a search for the decay B+ -> tau+ nu using 288 inverse femtobarns
of data collected at the Upsilon(4S) resonance with the BaBar detector at the
SLAC PEP-II B-Factory. A sample of events with one reconstructed semileptonic B
decay (B- -> D0 l- nu X) is selected, and in the recoil a search for the signal
decay mode is performed. The tau is identified in four channels. We measure a
branching fraction of BF(B+ -> tau+ nu) = (0.88+0.68 -0.67(stat.) +-
0.11(syst.)) x 10^{-4} and extract an upper limit on the branching fraction, at
the 90% confdence level, of 1.8 x 10^{-4}.
