Person search is a challenging computer vision problem where the objective is to simultaneously detect and reidentify a target person from the gallery of whole scene images captured from multiple cameras. Here, the challenges related to underlying detection and re-identification tasks need to be addressed along with a joint optimization of these two tasks. In this paper, we propose a three-stage cascaded Scale-Augmented Transformer (SAT) person search framework. In the three-stage design of our SAT framework, the first stage performs person detection whereas the last two stages performs both detection and re-identification. Considering the contradictory nature of detection and re-identification, in the last two stages, we introduce separate norm feature embeddings for the two tasks to reconcile the relationship between them in a joint person search model. Our SAT framework benefits from the attributes of convolutional neural networks and transformers by introducing a convolutional encoder and a scale modulator within each stage. Here, the convolutional encoder increases the generalization ability of the model whereas the scale modulator performs context aggregation at different granularity levels to aid in handling pose/scale variations within a region of interest. To further improve the performance during occlusion, we apply shifting augmentation operations at each granularity level within the scale modulator. Experimental results on challenging CUHK-SYSU [35] and PRW [47] datasets demonstrate the favorable performance of our method compared to state-of-the-art methods. Our source code and trained models are available at this https URL.