The invention discloses an eccentric supporting and energy-dissipating beam structure, and relates to the technical field of steel frame supporting structures. The beam structure comprises: a non-energy-dissipating beam, an energy-dissipating beam, a supporting beam, two frame columns, and auxiliary beams. The energy-dissipating beam is perpendicular to the length direction of the non-energy-dissipating beam, and the upper end of the energy-dissipating beam is connected to the bottom surface of the non-energy-dissipating beam. The two frame columns are respectively connected to both ends of the non-energy-dissipating beam. The supporting beam connects the energy-dissipating beam to one of the frame columns. One end of each auxiliary beam is connected to the supporting beam, and the other end is connected to the non-energy-dissipating beam and/or the frame column connected to the supporting beam. According to the beam structure provided in embodiments, flexibility of the beam structureis increased through reducing the number of the supporting beam, thus allowing other operations to be performed smoothly. Stability of the beam structure is increased through increasing the auxiliarybeams. Accordingly, under the premise of effectively dissipating seismic energy, the application range of the eccentric supporting and energy-dissipating beam structure is expanded, and the eccentricsupporting and energy-dissipating beam structure has good economic and technical benefit.