  In these proceedings, we give a summary of the experimental results from
CLEO, Belle, BaBar and CDF collaboration about $D^0-\bar{D}^0$ mixing and CP
violation in self-conjugated-three-body decays $D^0\rightarrow K_S^0hh$ (where
$h$ can be $\pi$ or $K$). We report preliminary results of measurement of
$D^0-\bar{D}^0$ mixing and indirect CP violation in $D^0\rightarrow
K_S^0\pi^+\pi^-$ decays using full data sample collected by Belle detector at
KEKB asymmetric-energy $e^+e^-$ collider: give values for
$x=(0.56\pm0.19^{+0.03+0.06}_{-0.09-0.09})%$,
$y=(0.30\pm0.15^{+0.04+0.03}_{-0.05-0.06})%$,
$|q/p|=0.90^{+0.16+0.05+0.06}_{-0.15-0.04-0.05}$ and
$\arg(q/p)=-6\pm11^{+3+3}_{-3-4}(^o)$. We also report results of recent
measurement searching for CP violation in $D^0\rightarrow K_S^0\pi^+\pi^-$
decays by CDF collaboration using $6.0 fb^{-1}$ of data collected in $p\bar{p}$
collisions at Tevatron. The phase-space-integrated CP asymmetry is measured to
be $A_{CP}=(-0.05\pm0.57\pm0.54)%$ and the CP symmetry is also found to be
conserved in all individual intermediate contributions.
