The captain collected 63 per cent of the vote to scoop the award after firing a dramatic brace at Old Trafford and netting a point-saving header against Sunderland at Anfield.
In total, Gerrard made three appearances in September, scoring three times, and while disappointed by some of Liverpool's results during the month, he remains confident the Reds will soon be firing on all cylinders.
He told Liverpoolfc.tv: "I think everybody at the football club knows we need to improve things and improve results on the pitch.
"Yes, I'm pleased with my own form, but I still think I can get better and certainly the team can improve.
"It's more important for me that the team are playing well rather than myself personally, so hopefully next month someone else will receive this award and we will be talking about Liverpool being higher up in the table.
"I don't think it's a 'crisis'. I'm not too worried. Obviously the league table doesn't look too good at the moment, but we are close and I feel if we get a bit of luck going our way or we pull one big performance out the bag, things can improve and we can move up the table."
He added: "It's always nice to be recognised by the fans. They're the most important people at the club. Hopefully if things are sorted off the pitch, we can put smiles back on their faces with good performances on it."
Reds boss Roy Hodgson endorsed the fans' decision to select Gerrard as their Standard Chartered Player of the Month.
He said: "His form has been very good. Very, very good. He's played extremely well and done so in a couple of positions for us. He's played in an advanced position and in a slightly more deeper position - but wherever he has played, he's done really well.
"He has been one of the players who, like Jamie Carragher, have had no dips in form or been affected by the fact results haven't gone our way."
Every month you'll get the chance to vote for the Standard Chartered Player of the Month - and the winner will be presented with our brand new trophy courtesy of our main club sponsor.