In this letter, we propose hybrid metal-dielectric waveguides coupled to 2D materials that provide strong light-matter interaction at THz frequencies. We investigate the properties of the fundamental propagating modes and show that the strength of in-plane electric field components is maximized at the top of the dielectric strip on which the 2D material is deposited. Our simulation predicts 100 % modulation of THz light by tuning the Fermi level of a graphene sheet deposited onto a 1mm-long waveguide. We also show the potential of graphene multilayers coupled to these waveguides for achieving lasing at THz frequency. Our approach is compatible with CMOS or THz quantum cascade laser technologies.Graphene and other 2D layered materials such as black phosphorus and TMCD have attracted increasing attention for THz technology due to their unusual electrical and optical properties [1]. For instance, graphene can absorb THz photons, displays high electron mobility at room temperature, high optical nonlinearities [2] and tunable carrier densities. Likewise, black phosphorus is well suited for detection of THz radiation owing to its finite and direct bandgap, which provides high Ion/Ioff ratio, its huge carrier density tunability and large mobilities [3]. Also, efficient THz modulation has been demonstrated on MoS2 on silicon substrate under optical excitation [4]. Moreover, the individual atomic planes of 2D materials can be mechanically separated from the bulk crystal and placed onto arbitrary substrates. As a result, 2D materials, which can realize many functions required for THz photonic circuits (e.g., modulation and detection of photons), can be easily integrated with other components based on silicon technologies or THz quantum cascade laser technologies. However, the inherent thinness of 2D materials severely limits their interaction with normal incident light.In recent years, several strategies have been proposed to enhance the interaction between THz optical field and the 2D material. One approach is to integrate 2D materials with photonic structures or into optical cavities. G. Liang et al. demonstrate 100 % absorption of the THz light by a graphene sheet incorporated into the cavity of a quantum cascade laser albeit with a bandwidth limited to the linewidth of the cavity resonance [5]. Alternatively, 2D materials have been integrated with optical waveguides to enhance the light-matter interaction in a nonresonant manner. Locatelli et al. [6] and M. Mittendorff et al. [7] propose advanced dielectric waveguiding structures based on a coupler with a graphene sheet between two waveguides and a graphene layer in a middle of a silicon waveguide, respectively. The latter enables to reach 90% of absorption from 0.2 to 0.7 THz for a 10 mm-long waveguide. Besides, V. Ryzhii et al. have investigated graphene multilayers integrated in metal slot-line waveguides, dielectric waveguides [8] and surface plasmonic metal waveguides [9]; they demonstrated the high potential of these components for THz lasing at room temperature...