Spintronic materials with two-dimensional (2D) transition-metal dichalcogenide (TMD)/ferromagnet (FM) interfaces have received a great deal of interest recently due to strong modulation of the magnetic properties, which provide attractive opportunities for magnetic information storage. Here, we demonstrate the strong spin-orbit coupling (SOC) effect and great interfacial tuning of magnetization dynamics in / thin films by means of a time-resolved magneto-optical Kerr approach, where M is chosen as or and X is or . The significant drop of demagnetization time, , and increase of magnetic damping factor, , clearly highlight the presence of high interfacial SOC strength in just one monolayer of . Compared with the single film, the precession frequency, f, is lowered after inserting a layer, suggesting a reduction of the effective magnetization, , originating from the interfacial d-d hybridization effect. The role of SOC strength on , , and is confirmed by using different TMD materials, and thus, demonstrates that the element M plays a dominant role. The samples with or have much shorter , smaller , and larger values due to the strong SOC interaction of heavier atoms. The observed efficient control of dynamic magnetic behavior will further promote the development of TMD/FM materials for practical spintronic applications with ultrafast manipulation speed and low energy consumption.