The effects of training on two memory and two attention tasks were investigated in 24 healthy elderly and 23 young subjects. Two training periods, each consisting of four sessions, were performed, and the effects of training were assessed during two test sessions 1 week thereafter. Significant age-related effects at the pretraining test session were found for reaction times to a simple visual stimulus, retrieval time of information from long-term storage, and the speed of focusing attention. In both age groups, performance of the first two tasks was significantly improved by training; however, the age-related effect remained significant after training. In the focused attention task, the age difference at baseline disappeared after training due to an opposite learning trend in young and elderly subjects. Thus, the cognitive performance of elderly subjects could be trained to a large extent. Significant age differences, however, could be decreased only if the test performance of young subjects did not improve.