In this study, the parameters in the electrospinning process including needle-target distances (9-12 cm), stirring time before electrospinning (1-3 d), and concentration of polymer solution (1-2 wt% of natural rubber) were optimized. Graphene nanoplatelets (GNPs) was chosen as conductive filler in order to enhance properties of polymer solution. The characterization of electrospun fibre was reported using scanning electron microscopy and Fourier transform infrared spectroscopy. Morphologies of fibre should be uniform, homogeneous, and defect-free. The best results of natural rubber fibre were produced by using 3 d of stirring time, concentration of 2 wt% of natural rubber, feed rate of 2.5 mL/h, and needle-target distances of 15 cm. The best results of natural rubber and graphene nanoplatelets fibres were at 3 d of stirring time, concentration of 3 wt% of natural rubber, feed rate of 2.5 mL/h, and needle-target distance of 15 cm. From the results, when the needle-target distance was increased, the fibre diameter was decreased. When the concentration was increased, the fibre diameter was decreased. Model of natural rubber and graphene nanoplatelets fibre was also determined.