The data hiding is one of the most important subject in field of computer science, so a lot of technique was developed and modified to satisfy the optimum lend of hiding. In this research the contourlet transformation coefficients were studied to decide which of them are suitable to embed data on it a lot of parameters of the contourlet coefficients can be discussed one of them is the coefficient energy.The research covered most of the suggested events which could be met during the embedding state, one of them the size of the cover in addition to the size of the information were studied. Applying the suggested idea on different type of image with different size (cover image and the message image) shows that the coefficients with low level of energy are suitable to embedded the information, and the retrieved cover and message are so closed to the original one.Key word-image processing; data security; watermarking; contourlet.