We investigated the influence of the time-of-day and sleep on skill acquisition (i.e., skill improvement immediately after a training-session) and consolidation (i.e., skill retention after a time interval including sleep). Three groups were trained at 10 a.m. (G10[subscript am]), 3 p.m. (G3[subscript pm]), or 8 p.m. (G8[subscript pm]) on a finger-tapping task. We recorded the skill (i.e., the ratio between movement duration and accuracy) before and immediately after the training to evaluate acquisition, and after 24 h to measure consolidation. We did not observe any difference in acquisition according to the time of the day. Interestingly, we found a performance improvement 24 h after the evening training (G8[subscript pm]), while the morning (G10[subscript am]) and the afternoon (G3[subscript pm]) groups deteriorated and stabilized their performance, respectively. Furthermore, two control experiments (G8[subscript awake] and G8[subscript sleep]) supported the idea that a night of sleep contributes to the skill consolidation of the evening group. These results show a consolidation when the training is carried out in the evening, close to sleep, and forgetting when the training is carried out in the morning, away from sleep. This finding may have an important impact on the planning of training programs in sports, clinical, or experimental domains.