Maxshift method is the efficient Region of Interest (ROI) coding algorithm recommended by JPEG2000. However, it cannot support the multiple ROI coding based on different degrees of interest. In the paper, a new multiple ROI coding method called BCAShift (Bitplanes Compensation Alternating Shift) is presented. For multiple ROIs, the new method can encode the significant bitplanes of ROIs and background (BG) by alternating shift model, which ensures these ROIs to be encoded according to different degrees of interest. The least significant bitplanes of BG can be last encoded based on compensation scheme. Experimental result shows that the presented method cannot only efficiently encode multiple ROIs with different degrees of interest in an image, but also flexibly adjust the compression quality between ROI and BG by selecting an arbitrary scaling value without any ROI shape information.