Graphene is a two-dimensional semiconductor material with carbon nanostructure, and it has a wide application prospect in the fields of microchip and materials science. In recent years, the research production of graphene in terahertz band have been used in optoelectronic devices , while the study of other two-dimensional sulfur materials are rarely reported. Therefore, we mainly study the absorption mechanism of graphene and graphene-like MoS2 WS2 on high resistance silicon substrate in the terahertz band from theory and experiment. We measure the terahertz spectrum of graphene-like material with terahertz time-domain spectroscopy system at different pump light powers, and obtain their transmission spectra, photoconductivitis and absorption spectra with calculation and analysis. Results show that we can similarly modulate the two kinds of graphene-like materials by changing the condition of light field. In addition, the absorption of WS2 and MoS2 are caused by the exciton of disulfide when imposing light field.