Brazilian Negrao finished 12th in his rookie season of GP2 last year, taking best finishes of fifth in both Monza races.
The 22-year-old scored all of his points at the Spa, Monza and Sochi rounds late in the campaign, and both team and driver hope to build on that progress in his second season.
"Last year we achieved our target of scoring points in the second half of the championship," said Negrao.
Vandoorne: I had to dominate GP2
"I had a very good feeling with the whole Arden team so we decided to continue for the 2015 season."
Team boss Garry Horner added: "We are very pleased to retain Andre for the forthcoming season.
"Having worked with him for the last 12 months, he has formed into a very motivated driver.
"He has developed a very good relationship with the team and we had made great progress by the end of the season."
2015 GP2 FIELD SO FAR
Pierre Gasly, Alex Lynn
Marco Sorensen, Julian Leal
Stoffel Vandoorne, Nobuharu Matsushita
Jordan King, tba
Raffaele Marciello, Rene Binder
Arthur Pic, Rio Haryanto
Norman Nato, Andre Negrao
Yet to announce drivers: Russian Time, MP, Rapax, Status, Hilmer, Lazarus
Vandoorne seals GP2 title in Russia
Rossi wins after Lynn crashes out