Graphene/silver nanocomposites are synthesized in the presence of sodium hydroxide, with graphene oxide and AgNO3 used as the raw materials. X-ray diffraction, Fourier transform infrared spectroscopy (FT-IR), and transmission electronic electron microscope, UV-vis spectrophotometer are used to characterize the obtained composites. Results indicate that the graphene oxide is partically reduced to graphene sheets, silver ions are reduced to silver nanoparticles and distributed on the graphene sheets uniformly. The action temperature, quantity of silver nitrate, adding order of NaOH and the way of mixing precusors have an influence on the silver size and particulate size distribution. The size distribution of Ag nanoparticles is centred at 12 nm under a suitable number of silver ions.