  We report improved measurements of B to pseudoscalar-vector decays containing
an omega meson in the final state. These results are obtained from a data
sample that contains 386 millions BBbar pairs collected at the Upsilon(4S)
resonance, with the Belle detector at the KEKB asymmetric energy e^+e^-
collider. We measure the branching fractions Br(B^+/- -> omega
K^+/-)=(8.1+/-0.6+/-0.5)*10^-6, Br(B^+/- -> omega
pi^+/-)=(7.0+/-0.6+/-0.5)*10^-6, and Br(B^0 -> omega
K^0)=(3.9+/-0.7+/-0.4)*10^-6. we also set the 90% confidence level upper limit
Br(B^0 -> omega pi^0)<1.5*10^-6. In addition, we obtain the partial rate
asymmetries Acp=0.05+/-0.08+/-0.01 for B^+/- -> omega K^+/- and
Acp=-0.03+/-0.09+/-0.02 for B^+/- -> omega pi^+/-.
