The e+e-→π+π-π0χbJ (J =0,1,2) processes are studied using a 118 fb-1 data sample acquired with the Belle detector at a center-of-mass energy of 10.867 GeV. Unambiguous π+π-π0χbJ (J =1,2), ωχb1 signals are observed, and indication for ωχb2 is seen, both for the first time, and the corresponding cross section measurements are presented. No significant π+π-π0χb0 or ωχb0 signals are observed, and 90% confidence level upper limits on the cross sections for these two processes are obtained. In the π+π-π0 invariant mass spectrum, significant non-ω signals are also observed. We search for the X(3872)-like state (named Xb) decaying into ωϒ(1S); no significant signal is observed with a mass between 10.55 and 10.65 GeV/c2.