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This paper presents a multi-octave power amplifier based on mixed continuous modes. It consists of resistive-reactive series of continuous modes and a phase shift parameter. The issue of impedance duplication is solved in the case of exceeding an octave bandwidth. By introducing a phase shift parameter, the bandwidth is further expanded obviously. Then, a compact network and its design method are proposed to meet impedance requirements. For validation, a 0.5-4.0 GHz power amplifier is designed and fabricated. And the measured results show that the saturated output power is between 40.0 dBm and 42.8 dBm in target band. From 60&#x0025; to 71&#x0025; drain efficiency is obtained with a gain greater than 10 dB. The size of the proposed PA is greatly compact, which is only with 3.6 cm <inline-formula> <tex-math notation="LaTeX">$\times6.0$ </tex-math></inline-formula> cm.