Pep Guardiola‘s men found themselves two goals behind at the interval after a John Stones own goal and a Joachim Andersen header put the Eagles in a commanding position.
Bernardo Silva reduced the deficit shortly after the break before Haaland nodded in the equaliser.
The striker then tapped City ahead from close range, before sealing his hat-trick with a composed finish beyond Vicente Guaita with nine minutes remaining.
The Norwegian admitted his pride at scoring his first hat-trick in English football.
“It’s a really good feeling. A proud moment for me and my family,” he said.
“In the end it was about small adjustments. We were almost there sometimes in the first half so it was about getting it done. This is what we do. It’s a good feeling.
“Yes I’m happy. It’s an amazing feeling to score a hat-trick.”
“It’s about trying to continue what we are doing. It was about small adjustments and we did that and got results. We had to listen to the manager.
“It’s a mentality that we trust each other and we know the chances will come. It’s about keeping going. In the end we scored four goals and that’s a really good thing.
“It’s a warning that we have to become better, training hard and develop. When we play at home we shouldn’t concede early goals. It’s about working harder.”
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Haaland is just the fourth player to score six or more goals in his first four Premier League appearances and the striker admitted that he is hungry for more.
“We keep going. These games are why I’m here - to turn things around when there are difficult times.
“[My dad] will probably say he had more goals in the Premier League than me so I will chase that.”
