It was just Norris' second race of his Formula 1 career and a first ever points-finish for the young Briton. In Melbourne, Norris managed a P12 finish for the Woking-based side.
"After reviewing Australia, we knew we could get points (in Bahrain)," the 19-year-old revealed. "We managed to beat a Red Bull now on pure pace. And even compared to (Sebastian) Vettel, he passed me and then he didn't pull away that much.
"I think our pace on some tracks, here was obviously much better than it was in Australia in terms of relative pace between Mercedes, Ferrari to last place. So, I think from that side of things it's made the racing a lot more fun.
"It was a good, fun race and we just hope we can be in these positions later on in the season."
Vettel finished in P5, a place above Norris, with the German's Ferrari team-mate Charles Leclerc securing a third-place finish for his maiden podium finish.