We present a search for the decay B + → ℓ + ν ℓ (ℓ = τ, µ, or e) in (458.9±5.1)×10 6 Υ (4S) decays recorded with the BABAR detector at the SLAC PEP-II B-Factory. A sample of events with one reconstructed exclusive semi-leptonic B decay (B − → D 0 ℓ −ν X) is selected, and in the recoil a search for B + → ℓ + ν ℓ signal is performed. The τ is identified in the following channels: τ + → e + ν e ν τ , τ + → µ + ν µ ν τ , τ + → π + ν τ , and τ + → π + π 0 ν τ . The analysis strategy and the statistical procedure is set up for branching fraction extraction or upper limit determination. We determine from the dataset a preliminary measurement of B(B + → τ + ν τ ) = (1.8 ± 0.8 ± 0.1) × 10 −4 , which excludes zero at 2.4σ, and f B = 230 ± 57 MeV. Combination with the hadronically tagged measurement yields B(B + → τ + ν τ ) = (1.8 ± 0.6) × 10 −4 . We also set preliminary limits on the branching fractions at B(B + → e + ν e ) < 7.7 × 10 −6 (90% C.L.), B(B + → µ + ν µ ) < 11 × 10 −6 (90% C.L.), and B(B + → τ + ν τ ) < 3.2 × 10 −4 (90% C.L.).