The present study aims to investigate the impact of reduced graphene oxide (rGO) incorporation on the charge transport properties of zinc oxide (ZnO) nanocomposite films. ZnO and varied weight percentage of rGO (1.25% to 10%) in ZnO-rGO nanocomposites are synthesized via cost-effective and facile hydrothermal method. The effect of varying weight percentage of rGO in ZnO nanocomposite is analysed by techniques such as X-ray diffraction (XRD), Scanning electron microscopy (SEM), Energy dispersive X-ray (EDX), Fourier transform infra-red spectroscopy (FTIR), and Raman spectroscopy. The observed current-voltage (I-V) characteristics at room temperature show the enhancement in forward current with an increasing weight percentage of rGO (1.25% to 10%) in ZnO nanocomposite films. To study the charge transport mechanism in nanocomposite films, dual-logarithmic I-V characteristics are plotted. From the characteristic curves, we find that three different laws of space charge limited conduction (SCLC) model namely Ohm's law, Child's law, and trap-limited SCLC mechanism describe charge transport properties in the ZnO-rGO nanocomposite films. At a low weight percentage of rGO (1.25%) in ZnO-rGO nanocomposite films, a transition from Child's law to trap-limited SCLC mechanism (0.9 V being the cross-over voltage) is obtained. As the weight percentage of rGO in ZnO-rGO nanocomposite films is increased from 2.5 to 10%, the conduction is favored by Ohm's law at low applied voltages to Child's law at higher applied voltages. Best experimental results are shown with 5% of rGO in ZnO-rGO nanocomposite. The prepared nanocomposite films have potential applications in UV-photodetector devices.