A logic inverter utilizing a graphene‐based three‐branch nano‐junction (TBJ) is proposed and demonstrated. Fabricated graphene TBJ exhibits parabolic voltage transfer characteristic and the polarity of the curvature can be switched by gate voltage owing to the change of the conduction type in the junction. Inversion of voltage signal is successfully realized in the graphene‐based TBJ utilizing the polarity switch of the curvature. Obtained voltage gain is 0.013, which is small for applications. Analysis of the observed behaviours using a simple model suggests that the gain can be improved by increasing gate capacitance and by reducing residual carrier concentration. (© 2013 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)