The two-dimensional (2D) transition metal dichalcogenide, molybdenum disulfide (MoS2), has been demonstrated to be a new class of microwave absorption (MA) material due to its high specific surface area and peculiar electronic properties. However, its limited MA capacity and bandwidth require further improvement. MoS2/RGO composites with improved MA performance have been reported, but the complicated and inefficient preparation process also limits the application of MoS2/RGO composites. In this work, we prepare MoS2/RGO heterostructure hybrid with excellent MA performance and broadened bandwidth by a facile one-step hydrothermal method. It is found that the highest reflection loss value of the sample-wax containing 40% MoS2/RGO is -49.41 dB at a thickness of 2.52 mm, and the bandwidth of RL values less than -10 dB can reach up to 13.36 GHz (from 4.64 to 18 GHz). Meanwhile, we investigate another strategy to prepare MoS2/Fe3O4 hybrid with hetero-structures and their MA performance is studied for the first time. It is found that the highest reflection loss value of sample-wax containing 40% MoS2/Fe3O4 is -42.57 dB at a thickness of 3.25 mm, and the bandwidth of RL values less than -10 dB can reach up to 12.73 GHz (from 5.27 to 18 GHz). Results obtained in this study open a new window for designing excellent MA materials for practical applications.