It plans to be a coffee-table style publication, and is headed up by veteran editor Steve Williams and former Edge art editor Terry Stokes.
The first issue of CVG went on sale in 1981 and was published monthly right up until December 2004, after which it went online-only.
"I bought issue one of CVG in 1981 and I'm delighted that Future is bringing the brand back to the newsstand," said publishing director of Future's games portfolio James Binns.
"We will be promoting CVG Presents in-store, online and across the rest of our growing games portfolio. Gamers are going absolutely nuts for the release of GTAIV, and the timing of this launch couldn't be better."
The first issue of GTA Presents goes on sale Wednesday, 16th April, with a coverprice of £5.