Greg Norman is nicknamed "The Great White Shark", a reference to a shark inhabiting Australian waters as well as Norman's size and blonde locks.

The first professional tournament he won was the 1976 West Lakes Classic in his home country, and he soon moved on to success on the European Tour and later the PGA Tour.

Norman won The Open Championship twice, in 1986 and 1993, and also won The Players Championship in 1994 in record-setting fashion. Despite his huge success on the U.S. PGA TOUR and his many wins around the world, Norman will be forever regarded as an underachiever (given his talents), a characterization fueled by his myriad of near-misses in The Masters, the U.S. Open, and the PGA Championship. He was equally a victim of his own bad luck and good luck on the part of his fellow golfers in major championships. He infamously lost a near-certain PGA Championship in 1986 after Bob Tway holed a greenside bunker shot (though Norman himself shot a 76 that day), and lost The Masters the following year in a playoff on an even more miraculous 45-yard chip shot by Larry Mize on the second play-off hole.

Norman's friendly image and articulate nature has made him a perfect spokesman for a wide range of products, including the usual array of golf equipment but extending well beyond. While continuing to play tournaments (albeit in an abbreviated schedule), his growing business interests take up an increasing amount of his time. His personal wealth is estimated to be in the hundreds of millions of U.S. dollars.

He was inducted into the World Golf Hall of Fame in 2001.