Marcos Senesi sent the Cherries on their way in Dorset, with the defender registering in the 13th minute, before Enes Unal and Justin Kluivert netted in the second half of the clash.
The victory moved Bournemouth onto 48 points from 35 matches, and the total represents their record tally in the Premier League, still with three games left to play.
Andoni Iraola has set the record in his first season in charge, and the Cherries are currently 10th in the table, level on points with ninth-placed Chelsea and just one point behind eighth-placed West Ham United.
Bournemouth will now take on Arsenal (A), Brentford (H) and Chelsea (A) in their final three matches of the Premier League campaign.
Bournemouth set record points tally in Premier LeagueBournemouth finished 15th in the Premier League last season on their return to the top flight, but they are comfortably on course to improve on that this term.
The club's best-ever finish in the top flight was ninth in 2016-17, when they claimed 46 points, so it could also be a historic season in terms of their final spot in the division.
Bournemouth defender Adam Smith said after the clash with Brighton that the current squad is «the most talented group» the club have had «in years».
«It is the most talented group we've had here in years. It is a great result and amazing to beat our points total, that was our aim,» Smith told Sky Sports News.
Bournemouth now aiming for highest-ever Premier League finish«Today was tough, we knew they'd have most of the ball. We had to dig in and they didn't have many clear-cut chances and
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