Random frequency-hopping is a high-performance signal waveform with high anti-interference capability and low interception probability.However,the conventional random frequency-hopping signal is sensitive to target motion,the coupling of target motion and frequency modulation will introduce the phase high-order term in the echo,leading to range profile defocusing.In view of this,this paper proposes a random frequency-hopping radar imaging method based on the joint modulation of Pulse Repetition Time (PRT) and frequency,which eliminates the high-order coupling term of motion and frequency by changing the pulse repetition time based on the conventional random frequency-hopping waveform.Then,the kernel function correlation method and Fast Fourier Transform (FFT) are used for fast imaging,and the imaging process avoids the estimation of the target velocity,which reduces the computational amount and facilitates the engineering implementation.The simulation data and the measured data are used to verify the algorithm,and the experimental results verify the effectiveness of the algorithm.