They've done it twice: in 1971 with a 1-0 win, and in 2002 with a 2-2 draw.
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Actually whoever wrote the above is wrong, the 2 - 2 draw with Tottenham was in 2004, therefore, we won the league at White Hart Lane in 1971 and 2004.
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Including when it was known as the old First Division, they have won the league 13 times. The only times they have won the title in sucessive years was when they won 3 in a row in 1933, 1934 and 1935. On no other occasion have they retained the league title. Since it became the Premier League in 1992, they have won it 3 times, but never retained it.