A training in the form of a computer game that aims at improving five cognitive functions in the elderly has been developed: visuospatial memory, attention, memory for prose, working memory and prospective memory. It was devised as a collaboration among the Department of Cognitive Psychology in Warsaw, Department of Individual Differences Psychology in Bydgoszcz, Faculty of Physics, Astronomy and Applied Computer Science – Game Academy in Cracow, and Department of Human Psychology and Department of Psychiatry of Ludwik Rydygier Collegium Medicum in Bydgoszcz. This software is an example of the so-called serious games. To the best of our knowledge it is the first one to focus particularly on prospective memory. This is the first report concerning the present training, which is currently being elaborated. The next step in its development will be testing its validity.