The first of the two-test series will ake place at Old Trafford on Saturday, 6th June.
"We received a request from the Argentinian Rugby Union to play one of the tests in England to generate funds to invest in their squads," RFU chief executive Francis Baron said.
"We are delighted to have been able to help them by securing Old Trafford, one of the most famous football stadiums in the world, and our thanks go to Manchester City Council, the NWDA and Manchester United.
"Rugby Union is thriving in the North West and this is a great opportunity for us to play a match away from Twickenham and aid the development of the game in the region. Tickets will be competitively priced and we are looking forward to a great occasion."