What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. The easiest way to send money via MoneyGram - is to use our website and find the nearest MoneyGram agent location. Using the MoneyGram system, you can easily send money to your relatives and friends in other countries. Today the company MoneyGram International - an independent U.S. company, whose shares are traded on the New York Stock Exchange and MoneyGram money transfer is considered one of the largest international money transfer systems without opening a bank account.