Several studies have shown that people can catch a ball even if it is visible only during part of its flight. Here, we examine how well they can do so. We measured the movements of a ball and of the hands of both the thrower and the catcher during one-handed underarm throwing and catching. The catcher's sight was occluded for 250 ms at random moments. Participants could catch most balls without fumbling. They only really had difficulties if vision was occluded before the ball was released and was restored less than 200 ms before the catch. In such cases, it was impossible to accurately predict the ball's trajectory from motion of the ball and of the thrower's hand before the occlusion, and there was not enough time to adjust the catching movement after vision was restored. Even at these limits, people caught most balls quite adequately.