To deal with the problem of motion parameter estimation for a high-speed maneuvering target under low Signal-to-Noise Ratio(SNR) environment, based on Hough Transform(HT) and Modified Discrete Chirp-Fourier Transform(MDCFT), a novel algorithm, i.e., HMDCFT, is proposed in this paper. It first employs the trajectory feature extracted from the image of range profiles by HT to correct the first-order Range Migration(RM) and resolve the Doppler ambiguity. Then, it adopts MDCFT to compensate the Doppler Frequency Migration(DFM) and estimate the target's motion parameters. After that, it coherently integrates the energy of radar returns along the estimated target moving trajectory. The numerical experiments show that the proposed method has superior anti-noise ability and motion parameter estimation performance. Compared with the envelope cross-correlation function method based on the correlation between range profiles, its anti-noise ability is improved by about 17.6 dB. Even the input SNR of radar echoes is as low as -35 dB, this method can accurately estimate the target's motion parameters and fully focus the energy of the target's echoes.