Silver nanoparticles-reduced graphene oxide composite (AgNPs-rGO) was prepared by co-synthesized and used for preparation of carbon paste electrode (CPE). AgNPs-rGO was characterized by XRD, SEM and EDS. The results indicated AgNPs-rGO was well synthesized with the 50.57% content of Ag element. The electrochemical behavior of H2O2 at AgNPs-rGO/CPE was investigated in pH=5.5 phosphate buffer solution. AgNPs-rGO/CPE exhibited significant response enhancement for the electrochemical determination of hydrogen peroxide (H2O2) while the RSD was 3.7%. In the range of 1.0×10-8 -1.0×10-6 mol/L, the electrochemical current of H2O2 increased linearly with the concentration of H2O2 (R2=0.9934). For that, the method was further applied in the detection of H2O2 in drinking water. The recovery rate and RSD in drinking water sample were found to be 97.1% and 4.7%, respectively. The results showed that the AgNPs-rGO/CPE working electrode could be used for electrochemical detection of H2O2 with good reproducibility and stability.