The prediction of future positions of moving objects occurs in cases of actively produced and passively observed movement. Additionally, the moving object may or may not be tracked with the eyes. We studied the difference between active and passive movement prediction by asking observers to estimate displacements of an occluded moving target, where the movement was driven by the observer's manual action, or passively observed. In the absence of eye tracking, we found that in the active condition estimates are more anticipatory than in the passive conditions. Decreasing the congruence between motor action and visual feedback diminished but did not eliminate the anticipatory effect of action. When the target was tracked with the eyes, on the other hand, the effect of manual action disappeared. Our results indicate distinct contributions of hand and eye movement signals to the prediction of trajectories of moving objects.