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In this paper, the crystal-field energy levels, the EPR g factors g(parallel to), g(perpendicular to) of Yb3+ and hyperfine structure constants A(parallel to), A(perpendicular to) of Yb-171(3+) and Yb-173(3+) isotopes in CsCdBr3 crystal are calculated from the crystal-field theory. The calculated results (seven energy levels and six EPR parameters) are in reasonable agreement with the observed values. In the calculation, we find that Yb3+ ion does not occupy the exact Cd2+ site, but is shifted from the center of bromine octahedron by a distance DeltaZ approximate to 0.184 Angstrom along C-3 axis. The results are discussed. (C) 2004 Elsevier B.V. All rights reserved.