We report measurements of CP violation parameters in B-0 -> K-S(0)pi(0)gamma transitions based on a data sample of 535x10(6)B (B) over bar pairs collected with the Belle detector at the KEKB asymmetric-energy e(+)e(-) collider. One neutral B meson is fully reconstructed in the B-0 -> K-S(0)pi(0)gamma mode. The flavor of the accompanying B meson is identified from its decay products. We obtain time-dependent and direct CP violation parameters S and A for a K-S(0)pi(0) invariant mass up to 1.8 GeV/c(2) as S-KS(0)pi(0)gamma=-0.10 +/- 0.31 +/- 0.07 and A(KS)(0)pi(0)gamma=-0.20 +/- 0.20 +/- 0.06. For a K-S(0)pi(0) invariant mass near the K-*0(892) resonance, we obtain S-K(*0)gamma=-0.32(-0.33)(+0.36)+/- 0.05 and A(K)(*0)gamma=-0.20 +/- 0.24 +/- 0.05.