  We investigate the possibility to induce double peaks of gravitational wave
spectrum from primordial scalar perturbations in inflationary models with three
inflection points. Where the inflection points can be generated from a
polynomial potential or generated from Higgs like $\phi^4$ potential with the
running of quartic coupling. In such models, the inflection point at large
scales predicts the scalar spectral index and tensor-to-scalar ratio consistent
with current CMB constraints, and the other two inflection points generate two
large peaks in the scalar power spectrum at small scales, which can induce
gravitational waves with double peaks energy spectrum. We calculate the induced
gravitational wave energy spectrum and find that the double peaks signal can be
detected in near future and can be distinguished with other single peak models.
