  I discuss the calculation of the direct CP-asymmetry in $D\to \pi^+\pi^-$ and
$D\to K^+K^- $ decays with the method of QCD light-cone sum rules. The main
result is the upper limit for the difference of the two asymmetries
$\left|\Delta a_{CP}^{dir}\right| < 0.020\pm 0.003\%$ which is significantly
smaller than the recent measurement of this quantity by the LHCb collaboration
