  The production of primordial black hole (PBH) dark matter (DM) and the
generation of scalar induced secondary gravitational waves by using the
enhancement mechanism with a peak function in the non-canonical kinetic term in
natural inflation is discussed. We show explicitly that the power spectrum for
the primordial curvature perturbation can be enhanced at $10^{12}$ Mpc$^{-1}$,
$10^{8}$ Mpc$^{-1}$ and $10^{5}$ Mpc$^{-1}$ by adjusting the model parameters.
With the enhanced primordial curvature perturbations, we show the production of
PBH DM with peak masses around $10^{-13}\ M_{\odot}$, the Earth's mass and the
stellar mass, and the generation of scalar induced gravitational waves (SIGWs)
with peak frequencies around mHz, $10^{-6}$ Hz and nHz, respectively. The PBHs
with the mass scale $10^{-13}\ M_{\odot}$ can make up almost all the DM and the
associated SIGWs is testable by spaced based gravitational wave observatory.
