In the current scenario, Graphene-based carbon fiber composite is highly used nanomaterial for the work-piece material that is employed in various applications (aerospace, automotive) due to its light weight, great strength, as well as high strength-to-weight ratio. In the experimental work, copper based tool electrode is used to remove the material. The work approach involves the four processing parameters of EDM such as input current (Ip), voltage gap (Vg), pulse on time (Ton) and pulse off time (Toff) which was used to evaluate the material removal rate (MRR) and tool wear rate (TWR). For optimization of MRR and TWR via processing parameters, Taguchi method was used in the experimental work. The L9 orthogonal array was generated using MINITAB 17 software. The work analysis approaches towards the different weight fractions of (0.1 and 0.3wt% of graphene) in carbon fibre composite for comparing the MRR and TWR. The effects of processing parameters on MRR and TWR via EDM oil and copper nanoparticles is examine. The MRR and TWR via Copper nanoparticle mixed EDM oil was observed to have the maximum and minimum value respectively as compared to normal EDM oil. The suitable value of MRR and TWR was observed with 0.3wt% of graphene in carbon fibre composite as compared to 0.1wt% of graphene via copper nanoparticle mixed EDM oil.