Disclosed are a graphene-containing composite material and a preparation method and use thereof. The graphene-containing composite material comprises components of a composite functional material with a double-conductive channel and a polymer matrix. The composite functional material with a double-conductive channel is sulfonated graphene surface grafted conductive polymer poly-3,4-(ethylenedioxythiophene) of the general structure formula as shown in formula 1. The composite functional material with a double-conductive channel and the graphene-containing composite material can be used for preparing a piezoresistance response material or an antistatic or electromagnetic shielding material and the like, and have excellent piezoresistance response, piezoresistance repeatability and electromagnetic shielding effect. The present invention is simple and easy to operate, can be used in large scale production, has excellent piezoresistance performance and very sensitive piezoresistance response, with the percolation threshold being only 0.5 wt%; not only the original performance of the polymer can be maintained, but also an unstable conductive network system can be formed, which facilitates the improvement of the sensitivity of the piezoresistance response.