This dissertation presents measurements of time-dependent CP violating asymmetries in the decays B0->KsPi0 and B0->KsPi0Gamma based on RUN 1-4 data collected with the BABAR detector at the Upsilon(4S) resonance operating at the PEP-II asymmetric e+e- collider at SLAC. It was found that the CP violating asymmetry parameters are S(KsPi0)=0.35+/-0.32+/-0.04, C(KsPi0)=0.06+/-0.18+/-0.03, S(KstarGamma)=-0.21+/-0.40+/-0.05, C(KstarGamma)=-0.40+/-0.23+/-0.03, S(KsPi0Gamma)=-0.9+/-1.0+/-0.2, C(KsPi0Gamma)=-1.0+/-0.5+/-0.2, where B0->KstarGamma decays correspond to the KsPi0 invariant mass interval of [0.8,1.0] GeV and B0->KsPi0Gamma of [1.1,1.8] GeV. All results are consistent with the Standard Model predictions.