Few layered graphene (FLG) was synthesized by substrate-free floating catalyst chemical vapour deposition method for the first time. A sensor prepared from the pristine FLG coated over a glassy carbon electrode without further modification showed high sensitivity towards sensing of H2O2 (355μAmM−1cm−2) with lower detection limit of 0.27μM and response time of 5s. Transmission electron microscopy revealed 3–5 layers of graphene sheets with edge defects, which was supported by Raman spectroscopy. X-ray photoelectron spectroscopy confirmed that the defects are due to oxygen present in the FLG in the form of CO, that played important role in sensing.