Cryogenic phonon-scintillation detectors already play a major role in the search of neutrinoless double beta decay, while cadmium molybdata (CdMoO4) is a very attractive material in this field. A single crystal of CdMoO4 was grown by NingBo University, and the temperature dependence of CdMoO4 scintillation properties have been investigated over a wide temperature range from 22 K to 300 K. The CdMoO4 crystal excited with laser of 355 nm exhibits a broad emission bands peaked at 551 nm. The main decay time constant is found to be 1.2 μs at room temperature (T = 300 K). During cooling to 22 K the scintillation decay time increases up to 170 μs. The MC-study has demonstrated that CdMoO4 crystal is a promising scintillator for use in search of neutrinoless double beta decay based on both 42100Mo and 48116Cd, two target nuclides.