In order to study a three-axis overhead tracking problems, α-degenerative tracking algorithm is discussed. A completely degenerate tracking and a three-step tracking algorithm are proposed. It is proved theoretically that they can solve overhead tracking problems. Furthermore, by applying the first algorithm, it is simulated that the three-axis tracks to a satellite orbits abou 2000km form the Earth. The simulating data shows that the completely degenerate algorithm keeps the rotation speed of each axis within 0.56 degrees per second. The second tracking algorithm is used in the three-axis automatic tracking experiment. It shows that the three-step tracking can solve the overhead tracking problem.