Earlier in his career he played for Yorkshire and England and was due to be out of contract with the Wildcats at the end of the current season.
Rhinos coach Brian McClennan told the club website: "He has impressed us with his performances for the Wildcats over the past two years and when he has played against us in the reserve academy or the Festive Challenge matches against Wakefield.
"He has joined us with immediate effect and that will give us some more strength in depth.
"He will do some physical testing with our fitness staff this week and we will make a decision after that when he will make his first appearance as a Rhino."
Pitts is the third signing for the Rhinos for next season with centre Michael Coady joining from Doncaster and prop Kyle Amor signed from Whitehaven.
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