A feasible Constant False Alarm Rate (CFAR) detector based on Anderson-Darling (AD) test for multiple interfering targets and clutter edge scenarios is proposed and referred as AD-CFAR, which chooses reference cell length and detection strategy adaptively according to characteristic of input clutter serials. AD-CFAR exploits K-sample Anderson-Darling hypothesis test to censor clutter blocks needed for clutter power estimation, and then Anderson-Darling test is employed for distribution test of the resultant homogenous clutter to select the proper detection algorithm from the strategy library. Theoretical analysis indicates that the proposed AD-CFAR maintains similar performance in homogeneous clutter to CA-CFAR and achieves excellent detection and false alarm performance in multiple interfering targets or clutter edge situation even when both are present.