BRB-VED hybrid dampers, resulting from the combination of a buckling-restrained brace (BRB) and viscoelastic dampers (VEDs), exhibit a multi-stage energy dissipation mechanism, with specific characteristics depending on the arrangement of their main components and the level of demand. This paper presents the numerical modeling schemes of three different configurations for BRB-VED hybrid dampers in OpenSees. The first two correspond to existing prototype devices, where the BRB and VEDs are combined either (1) in parallel or (2) in series. The third one corresponds to a new device setting using an (3) in-parallel damper combination with a gap system in series with the BRB. This work aims to establish practical modeling methods for BRB-VED hybrid dampers that can capture the main characteristics of their hysteretic response. First, BRB, VED, and gap system models are established and calibrated independently based on experimental data. Then, these components are combined according to the respective configuration. To validate the proposed models and observe their hysteretic behavior over a range of demand amplitudes, a damper model is subjected to displacement-controlled cyclic loading representing multiple levels of inter-story drift. The results show that the conceptual working mechanisms of the three configurations for BRB-VED hybrid dampers were effectively simulated. Therefore, the developed models can be used for seismic response analysis of frames incorporating BRB-VED hybrid dampers. A 4-story steel frame is employed as an example structure for this purpose.