MoneyGram - an international system of money transfers, which is one of the leaders of the world market and unites 233.000 agent locations in 190 countries. The company continues to automate and enhance MoneyGram Money orders and official checks by MoneyGram continue their steady performance and expanded line of bill payment services deliver excellent results. What are the main benefits of money transfers by MoneyGram? Cost. Today, it is most advantageous to the customer service of all the similar services. Until 2004, the owners of MoneyGram were Viad Corp and Travelers Express Company Inc.