The 26-year-old, who joined the Wildcats last May, has signed a three-year deal and will link up with the Warriors in November.
Tautai said: “I am excited for the opportunity of becoming a Wigan Warrior in 2015. I am looking forward to improving as a player and growing as part of their Team. I am very impressed with Wigan and feel that this is the right step forward for me in my life and career.
“Although I am grateful for this move I would not be in this position if it wasn’t for Richard Agar believing in me and giving me my first chance in Super League. My focus for the rest of the 2014 season will be to return from injury and put my energy into the success of my current team, Wakefield Wildcats.”
Wigan head coach Shaun Wane said: “I am absolutely delighted to have secured the services of Taulima. He will fit perfectly into our system and makes our squad even stronger with his aggressive running style and his attitude to defend, which is just the way I like it.”