The capture gamma-ray spectrum of Cd113(n, γ)Cd114 was investigated with the Argonne 7.7-m bent-crystal spectrometer. The observed spectrum consisted of 119 gamma rays with energies below 2 Mev. These precision energy measurements were combined with a series of coincidence experiments to modify and extend the level scheme of Cd114. The errors in the energy values of five previously observed levels are reduced by a factor of 10. Their new values are found to be 557.8+/-0.1, 1208.4+/-0.2, 1282.2+/-0.2, 1304.9+/-0.3, and 1362.9+/-0.3 kev. Five new levels are established at 1133.1+/-0.2, 1730.3+/-0.2, 1839.9+/-0.3, 1958.3+/-0.3, and 2202.4+/-0.3 Mev. Eight more levels are suggested at 1607.8+/-0.3, 2048.3+/-0.4, 2225.1+/-0.4, 2392.5+/-0.4, 2573.8+/-0.5, 2868.0+/-0.7, 3216.8+/-0.8, and 3484.7+/-0.8 kev. The limits placed on the spins and parities of these levels by the observed capture gamma rays are discussed.