The existing visitor facilities will be removed to allow the stones to integrate more naturally with the processional approach and the surrounding Wiltshire landscape.
"We see these as much-needed improvements to give people the chance to explore what the site would have been like thousands of years ago," said a spokesman for the Heritage Lottery Fund.
Stonehenge, described as the most architecturally sophisticated prehistoric stone circle in the world, was built between 3,000BC and 1,600BC.
Neil Oliver, archaeologist and broadcaster, said: "Stonehenge is up there with the pyramids and the Colosseum as one of the most famous and important archaeological sites in the world.
"The money will help ensure its magic is retained and looked after into the future. Stonehenge is a mind-blowing experience."