The former Roma standout becomes the first Egyptian to win the award and follows Sadio Mane, the August award victor, as Liverpool's second Player of the Month victor this season.
The 25-year-old has proved good value for money since joining in the summer, having already reached the 19-goal mark with his opener against Everton last weekend. The victor of the award is decided through a combination of votes from a panel of experts, Premier League captains and the fans, according to the Premier League website.
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Salah edged out Burnley's Robbie Brady, Manchester City duo Kevin De Bruyne and Raheem Sterling, Manchester United's Ashley Young, Chelsea's Eden Hazard and Arsenal's Shkodran Mustafi.
"Each month I want to score many goals and help the team to win games", Salah said.
Mohamed Salah's form at Liverpool has earned him praise from the top of the football world, with Brazil legend Pele revealed to be a big fan.
He received the award from his manager, Jurgen Klopp.