In this presentation, we propose a novel possibility for Higgs inflation where the conformal gravity coupling for the Higgs field leads to the proximity of the effective Planck mass to zero in the Jordan frame during inflation, corresponding to a pole in the Higgs kinetic term in the Einstein frame. The perturbative unitarity below the Planck scale is ensured by construction and the successful predictions for inflation are accommodated. We show that a concrete realization of the Higgs pole inflation leads to a reheating process with a general equation of state for the Higgs inflaton. We finally illustrate some extensions of the simple Higgs pole inflation to the general pole expansions, the running Higgs quartic coupling in the SM and its extension with a singlet scalar field, and the supergravity embedding of the Higgs pole inflation.