A cross-sensitive material for benzene, toluene and ethylbenzene is a nanometer composite powder material composed of graphene supported Au, Bi2O3, MgO and Y2O3. A preparation method of the material comprises the following steps: adding natural flake graphite into concentrated sulfuric acid, stirring, adding sodium nitrate and potassium permanganate, heating, adding hydrogen peroxide, heating, stirring, carrying out pumping filtration, washing by using water, dispersing the obtained material in a hydrochloric acid solution, adding auric chloride acid, a bismuth salt, a magnesium salt, a yttrium and isocitric acid, stirring, adding hydrazine hydrate, reducing, adjusting the pH value by using ammonia water to obtain a precipitate, filtering the precipitate, drying, grinding, and roasting to obtain the nanometer composite powder material composed of graphene supported Au, Bi2O3, MgO and Y2O3. A gas sensor made by using the cross-sensitive material provided by the invention can be used to rapidly and accurately determine a tiny amount of benzene, toluene and ethylbenzene in air on the scene without interference by common concurrent.