The decay behaviors of the 394948cd"> molecule state have been studied in an effective Lagrangian approach. We find that the 394948cd"> molecule state dominantly decays into and ηcη. The total and partial widths are strongly dependent on the model parameter, however, the ratio of the partial widths for ηcη and is relatively stable and predicted to be about 0.17∼0.22. In addition, our evaluation shows that the partial width for the 394948cd"> molecule to J/ψω is too small to be observed, thus the charmonium-like state X(3915) should not be a 394948cd"> molecule state.