There are a few answers to that. They first won the Premier League in 1993. However, at that time it was not sponsored by Barclays. BarclayCard sponsored it from 2001 to 2004, with Manchester United first winning it in 2003, and Barclays sponsored it from 2004, with Manchester United first winning it in 2007.
As of the end of the 2009-10 season, Liverpool are yet to win the Premier League. They have won the Football League First Division on eighteen occasions, most recently in 1989-90, and the Second Division on four occasions, most recently in 1961-62, just two seasons before a First Division victory, in 1963-64, after which they qualified for the 1964-65 European Cup.
18 each for Liverpool and Manchester united
Manchester United
Manchester United
Manchester United had won 7 First Division titles before the English Premier League was established in 1992; 1907-08, 1910-11, 1951-52, 1955-56, 1964-65 and 1966-67.
Man Utd and with 19 titles
Manchester United was the winner of the English Premier League in 1996.
Manchester United was the winner of the English Premier League in 1997.
Manchester United was the winner of the English Premier League in 1908.
Manchester United was the winner of the English Premier League in 1911.
Manchester United was the winner of the English Premier League in 1956.
Manchester United was the winner of the English Premier League in 1957.
Manchester United was the winner of the English Premier League in 1965.
Manchester United was the winner of the English Premier League in 1967.
Manchester United was the winner of the English Premier League in 2000.
Manchester United was the winner of the English Premier League in 2003.
Manchester United was the winner of the English Premier League in 2007.
Manchester United was the winner of the English Premier League in 2008.