Germany's Sutil moved up five places on the grid to earn six points, while Britain's di Resta, who was ninth fastest in the qualifying, gained a position to collect four points.
Sutil, who was struggling with his super-soft tyres in the final stint, said this result for the team was a perfect way to start the season.
"What a fantastic race and a great feeling. I started on the medium tyres, a different strategy to most of the cars ahead of me, and I think this was the right decision."
"After my second pit stop, I was back in the lead once again. My final stint on the super-softs was much more difficult because the tyres started graining and I lost a few places. I was thinking I might need to pit again, but fortunately the tyres came back to me for the final few laps so I could save the seventh place. I want to say a big 'thank you' to the team once again," Sutil added.