The deal, which is the second for GED in central-eastern Europe after it bought Infopress Group Romania in 2010, follows the sale of Polestar UK Print to Sun European Partners in April.
The addition of Revai will take Infopress Group's consolidated turnover to €80m (£70m) and total employees to around 500, making it the largest printing company in central-eastern Europe.
Jesus Castillo Ortega, president of Infopress Group, said: "We consider this transaction to be a great achievement and as new owners we have the chance to become a part of the current history of one of the most traditional Hungarian printing houses.
"Our goal is to develop production and improve the level of customer service by emphasizing flexibility and thus strengthen the market share and improve results in the coming two years."
The acquisition takes GED's investment in the region to over €15m (£13.1m) - a figure that is likely to rise in future. Ortega said: "Currently, GED Capital is the only player in the Hungarian printing market with fresh capital available for innovation and development. I am convinced that we will manage to use this opportunity and make Revai an even more successful company in the future."
