A new idea of using two electron beams to widen the bandwidth of a Gyro-TWA is put forward.Theoretical and numerical investigations show that:the new model can produce wideband and high-power output,and its gain is much higher compared with the existing wideband model.When the current of the two beams is 10A,their voltage are,respectively,90 and 153kV,the velocity ratio are 1.0 and 0.62,and their axial momentum spreads are 5.5% and 1.2%,the output saturated bandwidth can reach at least 22%,the peak power,efficiency and gain are 395kW,16% and 62dB,respectively.If we taper the axial guiding magnetic field at the end of the interaction region,a constant bandwidth of 23% can be achieved with the peak output power 280kW.