We calculate the new contributions to the charmless B decay B --> X(s)eta'
via the QCD gluon anomaly and the enhanced b --> sg decay due to the charge
d technipions appeared in Technicolor Model. Within the considered paramete
r space the new physics contribution can result in a large enhancement to t
he inclusive eta' production and in turn to account for the CLEO data of Br
(B --> eta'X-s).