  We present a measurement of the B -> omega l nu branching fraction based on a
sample of 467 million BB pairs recorded by the BaBar detector at the SLAC PEP-2
e+e- collider. We observe 1125 +- 131 signal decays, corresponding to a
branching fraction of BF(B -> omega l nu) = (1.21 +- 0.14 +- 0.08) x 10^{-4},
where the first error is statistical and the second is systematic. The
dependence of the decay rate on q^2, the momentum transfer squared to the
lepton system, is compared to QCD predictions of the form factors based on a
quark model and light-cone sum rules.
