Di Resta split with Anthony Hamilton as his manager just prior to the British Grand Prix in early July, the fallout from which will see them in the High Court later this year.
Hamilton is pursuing a case for wrongful termination of contract and loss of earnings, but with Di Resta alleging he was misled over a sponsorship deal with an energy drink company, Go Fast.
Since then Force India driver Di Resta has been advised by the Sports Partnership, run by Richard Goddard who has long had Button on his books.
The move means Di Resta can again focus on Formula One, leaving Goddard to pursue a deal for the 26-year-old Scot for next year given he has been linked with other teams.
Di Resta said: "It's no secret I have been looking for new representation and I am delighted to have found this with the Sports Partnership.
"They've been assisting me in a purely advisory capacity whilst I've been making my decision.
"Based on how that's gone and having seen what they've achieved with other clients, in and out of the sport of F1, it became clear it was the right way to go.
"Having the right team behind me will allow me to focus on what's important, which is to continue to develop as a driver, further my career in F1 and ultimately fight it out for race wins and a world championship."
From his perspective, Goddard said: "Paul is unquestionably a serious talent and a star of the future.
"We've been helping him through the last couple of months and we're delighted we will be continuing to work together moving forward.
"We will ensure Paul is able to simply concentrate on the job at hand and enable him to realise his full potential."
The announcement comes on the day Di Resta conjured his best qualifying performance in F1, claiming fourth ahead of Sunday's Italian Grand Prix.
However, any celebration had to be tempered by the fact he will start ninth, serving a five-place grid penalty for an unscheduled gearbox change ahead of final practice.
"It's bitter sweet," said Di Resta, whose result was no fluke as he ran in the top four in all three qualifying sessions.
"You have to give the guys (at the factory) credit. We obviously had a good simulator session and a good baseline to come here.
"We had a good philosophy, and each time we went on track we slowly dialled it in, showing the speed was there throughout the whole day.
"Unfortunately I start ninth, but if there was any day you need a result like that to influence your race and put you in a points position, then it was today [Saturday].
"We're still in the top 10, we're starting in the points, so we really just need to look ahead."