Goals from Yoane Wissa, Anthony Gordon, and Harvey Barnes sealed the win for the Magpies at St James' Park.
The result places Newcastle in a strong position, level on points with Paris Saint-Germain, ahead of their crucial final group stage match.
Newcastle's attackers, particularly Gordon and Barnes, continued their impressive European form, with Wissa making a significant impact on his first Champions League start.
The win sets up a decisive 'shootout' against European champions PSG at the Parc des Princes, where Newcastle likely need a victory to guarantee progression to the last 16.