The measurements of and of the b quark forward–backward charge asymmetry, Abfb, at centre-of-mass energies above the Z pole are described. The measurement of Rb is performed at 's between 130 and 189 GeV using a b-tagging method that exploits the relatively large decay length of b-hadrons. The measurement of Ab is fb performed using the large statistics event sample collected at 's s189 GeV with a lepton-tag analysis based on the selection ' b of prompt muons and electrons. The results at s =189 GeV are ,