Graphene/polymer nanocomposite material has drawn great attentions because of its outstanding physical and mechanical properties. However, study on the fabrication and thermal expansion behaviors of graphene/polymer nanocomposites is far from satisfaction,and this paper is concerned with the problem. Firstly, techniques including ultrasonic dispersion, mixing and stirring, and isothermal curing, etc., were used to fabricate graphene/epoxy composites. The fabrication technology was progressively optimized and finally more mature. In the experiment, the mass fraction of graphene in the composites was 1.0%~5.0%. Thereafter, the conductive property of the fabricated composites was tested,and the thermal expansion property was measured and analyzed within the temperature range of 30℃ to 120℃. The results indicated that, by adding graphene, conductive polymer composites can be obtained. The thermal expansion coefficient of the polymer can be effectively reduced, and it could be reduced to a greater degree with a larger content of graphene added. The present work provides possibility for future fabrication of conductive polymer composites with zero thermal expansion.