Graphene has emerged as one of the promising tools for bio-detections as it has high surface area with strong electrochemical properties. In present work, a sensitive electrochemical sensor based on the specific boronic acid-diol binding for glucose sensing was established. The sensor was consisted of 3-aminophenylboronic acid (APBA) and reduced graphene oxide (rGO). Before the modification of electrodes, graphene oxide (GO) and APBA composites (GO/APBA) were compounded by the dehydration condensation reaction. The rGO and APBA composites (rGO/APBA) were reduced from GO/APBA and deposited onto the screen printed electrodes through cyclic voltammetry, simultaneously. With the rGO/APBA functionalized electrodes, the glucose molecule could be detected in the range from 0.1mM to 50mM, which could satisfy the clinical application. In order to verify the sensitivity and selectivity of the rGO/APBA functionalized electrodes, GO/APBA, and rGO alone functionalized electrodes were also explored for glucose determination. Results showed that rGO/APBA modified electrodes possessed superior electron conductivity, which promoted the detection properties in impedance spectroscopy. In our study, an easy and simple cost-effective modification method was proposed by one step electrochemical reduction and deposition technique of rGO on screen printed electrodes. With specific modification, the rGO functionalized electrodes provided a sensitive and selective detection of biological analytes.