Few published studies have systematically compared the efficacy of different prompt-fading methods in the training of complex response chains. The current study systematically compared a most-to-least physical prompt fading hierarchy with a most-to-least vocal prompt fading strategy in the training of four arbitrary Tinkertoy® construction tasks across two participants. The results of the current study suggest that both prompt strategies are effective. For one participant, there was no difference in training effectiveness, however for the other participant, vocal prompting was a more effective training technique.