Liverpool conceded 2 poor goals but scored 4 at the other end to continue their impressive start to this season's League campaign.
Only twice in the last 25 years have Liverpool exceeded the current points tally after 10 games - both times finishing the season with 80+ points.
From the outset the reds looked the more hungry for the three points in this evenings game.
James Milner was out of the matchday squad due to illness meaning Alberto Moreno made a rare Premier League start. In midfield Emre Can was chosen ahead of Gini Wijnaldum and he proved the point by opening the scoring in a frenetic first half.
But just minutes after the reds first goal our defence imploded.
Dejan Lovren sliced a backpass right in the path of James McArthur who headed past Loris Karius to equalise.
Just three minutes later Lovren had made amends by heading home a corner from Coutinho to put the reds back ahead.
But the lead wouldn't last long - Palace levelled again through McArthur with Lovren failing to produce a strong enough challenge in the area.
With the first half ebbing away another central defender scored for Liverpool - from another Coutinho corner - this time it was the excellent Joel Matip who dispatched his first goal for the reds.
Liverpool hit the post on a couple of occasions and could have had a penalty when a Coutinho chance was handballed towards the keeper.
But it was the excellent Firmino who added Liverpool's 4th and sealed the result.
The reds were well worth all 3 points - a result that keeps them level on points with Arsenal and Man City at the top of the league.
Next up for the reds is the visit from Watford at Anfield.