The presented experimental results demonstrate the formation of giant amplitude microwave impulses by a chaotic klystron generator operating in autonomous mode. The auto-oscillator is constructed on the basis of a “noisetron” scheme, which contains two five-resonator drift klystrons connected in series in a ring. One of the klystrons operates in a signal linear amplification mode (a linear klystron) and the other - in a signal nonlinear amplification mode (a nonlinear klystron). It has been established that a regime of dynamic intermittency of the “chaos-chaos” type appears in a self-oscillating system at a certain value of a beam current of the nonlinear klystron. In this case, the chaotic sequences of microwave impulses of giant amplitude are formed on a chaotic amplitude background. This type of intermittency is due to the amplitude bistability of the nonlinear klystron.