What are the main benefits of money transfers by MoneyGram? Simple - the money transfer procedure is maximally simplified. MoneyGram - is an urgent money transfer by means of wired transfer around the world without opening a bank account. How to send money via MoneyGram money transfer? To make up a money transfer you should go to the MoneyGram agents and fill the application form for transfer. Using the MoneyGram system, you can easily send money to your relatives and friends in other countries. MoneyGram MoneyGram completed the rollout of simplified pricing for money transfer services in the U.S., an initiative that began last year.