We present preliminary measurements of B meson decays to B+ yields omega pi K+, and B0 yields Omega K0. The data were recorded with the BABAR detector and correspond to 88.9 X 10 to the 6th power BB pairs produced in e+e- annihilation at the gamma(4S) resonance. We find statistically significant signals for all three channels: B(B+ yields omega pi (sup +) = (5.4 plus or minus 1.0 plus or minus 0.5)X10 to the minus 6th power, B(B+ yields omega pi K+) = (5.0 plus or minus1.0 plus or minus 0.4)X10 to the minus 6th power, and B(B0 yields omega K0) = (5.3(sup +1.4) (sub -1.2) plus or minus 0.5) X 10 to the minus 6th power. We also measure time-integrated charge asymmetries Ach(B+ yields omega pi(sup +)) = 0.04 plus or minus 0.17 plus or minus 0.01 and Ach(B+ yields omega K+) = -0.05 plus or minus 0.16 plus or minus 0.01.