The (2)3PI(g)<--X3SIGMA(u)+ transition Of CS2 is observed in a very cold pulsed molecular beam using the resonance-enhanced two-photon ionization method, The term values of the substates of (2)3PI(g) state are determined to be T(e) = 14121.0 +/- 0.1, 14013.2 +/- 0.1, 13912.9 +/- 0.1, and 13909.4 +/- 0.1 cm-1 for the 2g, 1g, 0g+, and 0g- state, respectively. These term values agree well with the theoretical predictions.