Early goals from Ryan Fraser and Fabian Schar saw The Magpies go 2-0 up inside the opening quarter-hour.
Brighton pulled a goal back in the second half as Lewis Dunk turned the ball in from a corner to reduce the deficit but Newcastle were able to hang on.
Our writer Dominic Scurr has dished out his player ratings from the the match…
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. NEWCASTLE UPON TYNE, ENGLAND - MARCH 05: Ryan Fraser (obscured) celebrates with teammates Joe Willock and Joelinton of Newcastle United after scoring their team's first goal during the Premier League match between Newcastle United and Brighton & Hove Albion at St. James Park on March 05, 2022 in Newcastle upon Tyne, England. (Photo by Ian MacNicol/Getty Images)
Ryan Fraser (obscured) celebrates with teammates Joe Willock and Joelinton of Newcastle United after scoring their team's first goal during the Premier League match between Newcastle United and Brighton & Hove Albion at St. James Park on March 05, 2022 in Newcastle upon Tyne, England. (Photo by Ian MacNicol/Getty Images) Photo: Ian MacNicol
. Martin Dubravka - 6
Made a smart save to deny Danny Welbeck in the first half. Should have done better for Dunk's goal but made a good stop at his near post to deny Trossard in the closing stages. Photo: Shaun Botterill
. Emil Krafth - 7
Worked hard and got forward well. One of his better displays. Photo: Stu Forster
9. Ryan Fraser - 9
Built on last weekend's display with a goal and an assist inside the opening 15 minutes. Continued to pose a threat before being taken off. Photo: Stu Forster
10. Jacob Murphy - 6
Showed a good turn of pace for the opening goal, just couldn't apply the finish to get on the scoresheet himself. Came close to making it 3-0 in the first half but was denied by Sanchez in the Brighton goal. Photo: Stu Forster
11. Chris Wood - 7
Did brilliantly to launch the attack for the opening goal. Still not happening for him in front of goal but played an important role in the game. Photo: PAUL ELLIS
12. Allan Saint-Maximin - 7
On for Murphy 64: Injected some much needed pace and energy to the game to allow Newcastle to continue to pose a threat. Photo: Ian MacNicol