After a really bad start to the season, there's finally good news for Liverpool. They've lifted themselves out of the relegation zone with a 1-0 win against Bolton Wanderers.
It was all thanks to a late goal from Liverpool's Maxi Rodriguez. The club, which got new owners last month, has moved up to 12th in the table.
Newcastle thrashed Sunderland 5-1 at home. Captain Kevin Nolan was hero of the match, scoring a hat-trick.
Shola Ameobi scored the other two for Newcastle. It's a relief for manager Chris Hughton. There have been reports that his future was under threat.
A controversial goal from Nani helped Manchester United beat Tottenham 2-0 and stay third in the table.
Spurs goalie Heurelho Gomes lined up the ball for a free kick after Nani handled it. But Nani hit it into the net. The referee allowed the goal because a free kick hadn't been given.
Goals from Chelsea's Branislav Ivanovic and Nicolas Anelka helped the London club beat Blackburn 2-1 and keep their five-point lead at the top of the table.
But there's trouble at Man City. They suffered their second defeat in a row after Wolves' David Edwards scored to take his club to a 2-1 victory.
Arsenal left it late, scoring in the 88th minute to beat West Ham 1-0. The win helped them stay second in the Premier League table.