Saturday's 2-1 victory over rivals Tottenham Hotspur ensured that The Gunners remain top of the table over Christmas.
And Wenger is confident that his players can remain at the Premier League summit until May.
"I am convinced we can remain there. We have 43 points from 18 games and are in a very strong position," he said in the News of the World.
"This win showed we have the maturity and mental toughness to succeed - I've always thought it.
"We have had some tough games recently and have come through them."