In the research of the laser-driven inertial confinement nuclear fusion, a low-temporal-coherence light source with broadband and low-coherence characteristics is expected to reduce the instability of the interaction between laser and plasma and to become a strong competitor of a new generation laser driving devices. Realizing high-power low-coherence optical amplification output is the core of whether low-coherence optical drivers can be applied of inertial confinement fusion. Optical parametric amplification has the advantages of large bandwidth, high gain and no thermal effect, etc., which can overcome the spectrum narrowing of the energy-level amplifying medium; it is also an effective solution for realizing broadband low-coherence optical amplification. This paper systematically expounds the principle and technical characteristics of temporally low-coherence optical parametric amplification technology. Carrying out the experiment through near-infrared broadband low-coherent optical cascade parametric amplification process with non-collinear phase match, we reach the final amplification gain of $ 7 \times {10^7} $ and conversion efficiency of 13.19%.