The recent advances in Grid and Cloud computing make new types of applications possible. At the same time, they require an infrastructure to implement heterogeneous computing resources time and cost-savely. Here, approaches that utilize design patterns, i.e., proven solutions to existing problems, seem to provide a good approach to enable these kind of applications. In this paper, we investigated which design patterns are already used in the area of Grid computing nowadays. After a brief description of the literature study design, we present our findings which include the discovered design patterns, corresponding categories, and application areas.