In this work, the synthesis and testing of reduced graphene oxide in a three-electrode system as well as the synthesis and testing of graphene paper were performed. The goal was to obtain a material suitable for zinc deposition. Finally, hybrid supercapacitors containing reduced graphene oxide (rGO) paper and reduced graphene oxide modified with 20% CNT were assembled. During the polarization of the hybrid supercapacitor, zinc was successfully deposited/dissolved on the negative electrode. Electrode (rGO, rGO/10%CNT and rGO/20%CNT) characteristics were examined in three electrode system by cyclic voltammetry (CV), chronoamperometry (CA) and electrochemical impedance spectroscopy (EIS). Zinc deposition on rGO, rGO/10%CNT and rGO/20% CNT layers was performed by the CV method. Electrode surfaces before and after zinc deposition were characterized by an optical microscope (OM). The obtained results showed that the porosity of the layer increases with the addition of CNT. rGO and rGO/20%CNT samples were selected for graphene paper synthesis. The electrical conductivity of rGO paper and rGO/20% CNT paper was found to be 5.08 Scm^-1 and 5.79 Scm^-1, respectively. The characteristics of the prepared hybrid supercapacitors were examined by CV and EIS. Current peaks corresponding to zinc deposition/dissolution have been obtained. The specific capacitance values of the rGO paper/rGO paper hybrid supercapacitor ranged from 6.04 to 14.46 Fg^-1, and the values of the (rGO/20%CNT) paper/(rGO/20%CNT) paper hybrid supercapacitor ranged from 28.25 to 39.07 Fg^-1.