We have searched for CP violation in the charmed meson decays D(s)+→KS0π+ and D(s)+→KS0K+ using 673fb -1 of data collected with the Belle detector at the KEKB asymmetric-energy e+e- collider. No evidence for CP violation is observed. We report the most sensitive CP asymmetry measurements to date for these decays: ACPD+→KS0π+=(-0. 71±0.19±0.20)%, ACPDs+→KS0π+=(+5.45±2. 50±0.33)%, ACPD+→KS0K+=(-0.16±0. 58±0.25)%, and ACPDs+→KS0K+=(+0.12±0.36±0. 22)%, where the first uncertainties are statistical and the second are systematic.