Both Data hiding and data compression are very important technologies in the field of image processing. It seems that there is no relationship between data hiding and data compression because most of the data hiding mechanisms focus on information security and the data compression mechanisms emphasize the compression ratio. In fact, they are closely related. Until now, there are many literatures to discuss the secret data how to be embedded into the media image. Unfortunately, the stego-image's size will be increased when the media image is hidden a lot of secret data. In order to overcome this disadvantage, a reversible data hiding scheme based on EMD data hiding and JPEG compression technology will be proposed in this paper. According to the experimental results, we can prove that our proposed scheme still keeps high embedding capacity, security and good compression ratio.