A new class of inflation models within the context of G-inflation is proposed , in which the standard model Higgs boson can act as an inflaton thanks to Galileon-like non-linear derivative interaction . The generated primordial density perturbation is shown to be consistent with the present observational data . We also make a general discussion on potential-driven G-inflation models , and find a new consistency relation between the tensor-to-scalar ratio r and the tensor spectral index n _ { T } , r = -32 \sqrt { 6 } n _ { T } / 9 , which is crucial in discriminating the present models from standard inflation with a canonical kinetic term .