Abstract: For the problem of constant false alarm rate (CFAR) detection in Weibull clutter background, a CFAR detector—cycle elimination TLME-CFAR detector is proposed. The detector calculates its detection threshold through the estimation of two parameters of Weibull distribution, which is based on TL-moment estimation. The effect of the interference target and the strong scattering point are then eliminated by the cyclic elimination method. This paper proved that the proposed detector is a CFAR detector, and then the performance of the detector is studied by Monte Carlo simulation and compared with the MLH-CFAR detector. The result shows that the cyclic elimination TLM-CFAR detector has very nearly the same performance with MLH-CFAR detector. The detector avoids iterated operation of maximum likelihood estimation, and improves the efficiency and applicability of detection algorithm.