Data hiding techniques aim to embed the hidden data into digitalized carriers. In this paper, we present an efficient data hiding method for the Absolute Moment Block Truncation Coding (AMBTC) compressed images. The first step of the proposed method is performing the traditional AMBTC method, which is followed by an inner-block switching strategy and a quality improvement method. From the experiments, we demonstrate that the data capacity of this work is large, and meanwhile, the visual quality of the output stego image is satisfactory.