A transverse Zeeman study of the high-concentration Nd3+-doped CsCdCl3 crystal at 25 K in an external magnetic field of 7.8 T applied both parallel and perpendicular to the c axis, is presented here. Observed splittings of the transitions I-4(9/2) --> (4)G(5/2) and I-4(9/2) --> (7/2) Of the 4f(3) electronic configuration of Nd3+ ions are investigated in detail. From the observed splittings for b\\c, the parallel splitting factors s(\\) are determined for the levels in these multiplets. But for B I c no resolvable splitting is found at any level in these two multiplets.