  The process $e^+e^-\to K^+K^-\pi^0$ is studied with the SND detector at the
VEPP-2000 $e^+e^-$ collider. Basing on data with an integrated luminosity of
26.4~pb$^{-1}$ we measure the $e^+e^-\to K^+K^-\pi^0$ cross section in the
center-of-mass energy range from 1.28 up to 2 GeV. The measured mass spectrum
of the $K\pi$ system indicates that the dominant mechanism of this reaction is
the transition through the $K^{\ast}(892)K$ intermediate state. The cross
section for the $\phi\pi^0$ intermediate state is measured separately. The SND
results are consistent with previous measurements in the BABAR experiment and
have comparable accuracy. We study the effect of the interference between the
$\phi\pi^0$ and $K^\ast K$ amplitudes. It is found that the interference gives
sizable contribution to the measured $e^+e^- \to \phi \pi^0\to K^+K^-\pi^0$
cross section below 1.7 GeV.
