The results of a multiple baseline single case study using computerised cognitive training in older adults with Amnestic Mild Cognitive Impairment (aMCI) are reported. Two participants each completed 40 sessions of training in two phases: an initial phase that trained attention, processing speed and cognitive flexibility, followed by a mixed memory and execution functions phase. It was hypothesised that participants would improve with practice on the trained tasks, that the benefits of training would generalise to non-trained neuropsychological probe measures, and that training would result in improved perceptions of memory and mood. Results indicated that one participant showed improved performance on untrained measures of attention and reasoning. On pre/post measures both participants reported less frequent cognitive failures in everyday life and improved mood following training. The results are discussed along with suggestions for future research.