The Tigers scored five tries to two - three from grubbers - to record only their second win in nine games against Parramatta and overwrite the memory of the Roosters putting 44 points past them last Sunday.
Powerhouse winger Tuqiri has now scored four tries in the first three matches of his return to rugby league after seven years playing union.
Parramatta's slow starts continued, and the Tigers took total control of the first half, leading 9-0 at halftime.
A Parramatta fightback began when Joel Reddy outleapt Tuqiri to grab a Jeff Robson kick in the 49th minute and Krisnan Inu's conversion made it 15-6.
But when Tuqiri stayed several blades of grass inside the touch-in-goal line to ground a Robbie Farah grubber for his second try, the home side was back in control, and stayed that way.
* In last night's late game, the Dragon had a comfortable 33-8 win over the Cowboys in Wollongong.
- AAP