This paper studies the necessity of local CFAR processing in CFAR detection with multisensors. This necessity is shown by comparison between centralized CFAR detection and the distributed CFAR detection scheme based on local CFAR processing, under three typical backgrounds and in several cases of mismatching ρ, the relative ratio of local clutter power level in sensors in a homogeneous background. Results show that centralized CFAR processing can not be considered as CFAR without exact prior knowledge of ρ. In addition, even if the knowledge of ρ is available, the great difference among local clutter power levels can also result in severe performance degradation of centralized CFAR processing. In contrast, the distributed CFAR detection based on local CFAR processing is not affected by ρ at all, a fact which was proposed in a previous published paper. Therefore, the CFAR processing must be made locally in sensors for CFAR detection with multisensors.