In this paper, the Autocoast algorithm is proposed for EOTS to overcome the target occlusion status. Coast mode, one of tracking modes, is to maintain the servo slew rate with the tracking rate right before the loss of track. The Autocoast algorithm makes decision of entering coast mode by the prediction of target occlusion and tries to refind target after the coast time. This algorithm composes of 3 steps, the first step is the prediction process of the occlusion by target-like background, the second one is the check process of the occlusion happened after background intensity variation, and the last one is the process of refinding target. The result of computer simulation, test under laboratory, and real test with EOTS shows the applicability for the automatic video tracking system.