The 27-year-old, who joined the Bulls a year ago from Australian club Parramatta Eels on a 12-month contact, has signed a new two-year deal.
New head coach Francis Cummins said: "I wanted to keep Nas at the club because he's a great man as well as being a very good rugby league player."
He added: "It was a massive gamble by Nas and by us for him to come here last year because the NRL is completely different.
"But Nas has proved himself and settled here well with his family. He has made his mark in Super League and I expect him to step up again next season and become one of our leaders."
Bradford are in a rebuilding phase under Cummins, with 17 of last year's squad all having come out of contract at the end of the season.
Chev Walker recently signed a new 12-month deal while John Bateman and Luke Gale penned two-year extensions and the club have signed centre or second rower Matty Blythe on a season-long loan from Warrington.
Manuokafoa played the last 25 matches of the 2012 season after missing the first month with a knee injury sustained in pre-season training and is looking forward to continuing his career at Odsal under new ownership.
"With Omar Khan having taken over the club, I believe the Bulls can go places and I'm delighted to be a part of things going forward," he said.