  We revisit the reheating mechanism after the end of inflation in the
non-minimal derivative coupling (NDC) to gravity with quadratic potential. This
is because the inflaton of the NDC should describe the slow-roll inflation as
well as the preheating stage after the end of inflation. We point out that the
non-periodic inflaton solution implies the absence of parametric resonance,
compared to the periodic oscillating inflaton for the canonical coupling (CC)
to gravity. Furthermore, it is demonstrated that narrow and broad parametric
resonances do not appear after the end of inflation in the NDC model by solving
the differential equation numerically for the quantum field, which differs from
the case of the the CC model obtained by solving Mathieu equation.
