There is one method, called the Block Gradient Method here, whereby to detect image movements from an image sequence. This method has an advantage over the computing costs in a movement vector. However, this method has a general problem, in that the reliability of the detected movements varies with varying conditions, such as the image texture. Therefore, it is important to obtain some indices which indicate the reliability of the detected movements for sequential tasks which use them. In this paper, the reliability of the detected movement by this method is discussed and indices indicating it are proposed. The effectiveness of the indices is shown by experiments. A movement vector stabilizing process, using the indices, is also described. The algorithm proposed in this paper will offer the suitable movement information for the information integration, which is processed in the successional tasks.