The announcement Friday comes three days before Norman is to captain the International team at the Presidents Cup in San Francisco, where wives of the captains take on a visible role.
Norman and Evert, each in the Hall of Fame in their respective sports, did not say whether they planned to divorce.
In a statement, the couple said only, "We will remain friends and supportive of one another's family." The statement said they requested privacy for them and their families.
Norman's spokesman, Bart Collins , said the two-time British Open champion would not comment beyond the statement. Norman's first press conference at the Presidents Cup is Tuesday morning.
The timing of the announcement was in part to prevent speculation on Evert's absence at the Presidents Cup, matches between the United States and an International team of countries from every continent but Europe.
PERRY'S MOTHER DIES: PGA Tour player Kenny Perry 's mother has died after a long battle with blood cancer, and the 49-year-old American said he would play in the Presidents Cup next week at his family's request.
Even as Perry turned in one of his best years with three victories and a playoff loss at the Masters Tournament, he has been coping with an emotional home life as his mother was put in hospice in July. Perry recently had his son, Justin , caddie for him to keep close as a family.
Mildred Perry died peacefully Thursday morning in Franklin, Ky., of multiple myeloma, Perry's agent said.
She was 79.
Alan Bullington said Perry's family urged him to compete in the Presidents Cup.
"While Kenny is deeply saddened by the loss of his mother, he and the entire Perry family are finding comfort in knowing that after a lengthy battle with cancer, her suffering has now ended," Bullington said in a statement. "Competing in the Presidents Cup next week will undoubtedly be an emotional challenge for Kenny, but he knows his mother and his family will find joy in watching him play."
The Presidents Cup begins Thursday, with all 12 players from both teams competing.