A method describing the nuclear rotational motion of a nuclear system with a deformed equilibrium shape is investigated. As a simple example the three dimensional Q-Q interaction model is analyzed. This is an extension of our previous analysis to the case of three dimension.New rotational states in a deformed nuclear system are introduced according to the definition quite similar to that in our previous paper. In the three dimensional model these rotational states take the form of a vector, in contrast with the case of two dimension.It is found that the cranking model and our system are closely related to each other. However in our case angular velocities which characterize the classical rotations of a nuclear body are matrices. Thus we get a semiclassical picture for the nuclear rotations: A deformed nuclear body rotates around a rotational axis which fluctuates quantum mechanically.