The transfer of learning from the wake to the sleep state has been the subject of several studies involving conditioned discrimination (e.g., Beh & Barratt, 1 965) and operant control procedures (e.g., Williams, Morlock, & Morlock, 1966). These studies show that stimulus control transfers from waking to sleep. The degree to which learned behavior can be controlled, however, has been found to be greatly reduced by sleep. One of the goals of this research was to investigate factors related to the level of control exerted by stimuli presented during sleep. An additional goal was to provide further information about the effects of stimulus control on sleep. Addressing these issues may increase our understanding of brain organization in sleep and may also lead to procedures for controlling sleep-related behavioral disorders.