The surface reaction of trimethylgallium (TMG) is discussed as a function of relaxed or reconstructed GaAs surface structure on the basis of pulsed molecular beam scatterings from stoichiometry controlled GaAs(100), (110) and (111)B surfaces. The results are interpreted within the framework of the precursor-mediated adsorption mechanism, where TMG surface reaction is determined by the depth of the precursor state and the stability of the surface structure. It is believed that the precursor state is deepened by the electrostatic behavior in the GaAs surface structure. The topmost As atoms which have only bonds to As atoms hinder TMG trapping in the precursor state; implying the mechanism of the growth suppression on the (2×2)-reconstructed (111)B surface and the As-passivation technique.