Face pose estimation plays an important role in human computer interaction, automatic human behavior analysis, gaze estimation, virtual reality, pose independent face recognition etc. Accuracy and speed are the most desirable features of a face pose estimation system. In this paper, a face pose estimation scheme based on the centers of the eyes and mouth is proposed. The proposed method is simple and is, therefore, very effective in terms of computation because it uses only three points i.e. eyes and mouth centers. The use of only three points increases the pose estimation range and makes the method suitable for real time applications. Tests using the Pointing' 04 database show that the proposed scheme is robust and fast.