What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. Since going public two and a half years ago, MoneyGram has made great strides by pouring energy and resources into several critically important areas for business. Using the MoneyGram system, you can easily send money to your relatives and friends in other countries. MoneyGram offers an efficient, fast and secure way to send money around the world.