We have measured, with electron tagging, the forward-backward asymmetries of charm-and bottom-quark pair productions at √ s =58.01GeV, based on 23,783 hadronic events selected from a data sample of 197pb −1 taken with the TOPAZ detector at TRISTAN. The measured forward-backward asymmetries are A c F B = −0.49±0.20(stat.)±0.08(sys.) and A b F B = −0.64±0.35(stat.)±0.13(sys.), which are consistent with the standard model predictions.