The magnetic ground state of the antiferromagnet Kondo lattice compound Ce 8 Pd 24 Ga has been investigated using neutron powder diffraction, inelastic neutron scattering and zero-field muon spin relaxation measurements. The neutron diffraction analysis, below T N (3.6 0.2K), reveals a commensurate type-C antiferromagnetic structure with the ordered state magnetic moment of ~0.36 B /Ce-atom along the cubic <111> direction. The analysis of the inelastic neutron scattering (INS) data based on the crystal field (CF) model reveals a doublet ground state with a ground state moment of 1.29 B/Ce-atom. The observed magnetic moment from neutron diffraction, which is small compared to the expected value from CF-analysis, is attributed to screening of the local Ce moment by the Kondo effect. This is supported by the observed Kondo-type resistivity and a small change in the entropy of Ce 8 Pd 24 Ga at T N . The zero-field muon spin relaxation rate exhibits a sharp increase below T N indicating ordering of Ce moments, in agreement with the neutron diffraction data. The present studies reveal that the physical properties of Ce 8 Pd 24 Ga are governed by the onsite Kondo compensation, the moment stabilizing intersite RKKY interaction and the crystal field effect.