I think it is nine in a match between Arsenal and Tottenham Hotspurs.
Jermain Defoe with 7 goals for Tottenham
Jermaine Defoe and Alan Shearer
Dimitar Berbatov, Alan Shearer, Andy Cole and Jermain Defoe have all scored 5 goals in a Premier League game.
Cristiano ronaldo scored 9 goals against Charlton athletic
The highest scoring match in English Premier League history is 7-4, Portsmouth vs Reading on September 29th, 2007.
The most goals scored by a single team in a Premiership match is 9. Manchester United and Tottenham Hotspur have both managed that feat.
Alan shearer with 206 premier league goals
The Barclays Premier League's All-Time top scorer is Alan Shearer, with 260 goals.
Teddy Sheringham
Henry
Alan Shearer has scored the most hat tricks in the premier league, not only this but he also scored the most goals in the premier league as well!
Tim Cahill has scored the most with his headed goals, 31 of his 54 goals, from 200 appearances in the English Premier League. That's quite an achievement!