In a news release, the Red Sox confirmed that Beane had a heart attack, which caused a one-car accident. According to multiple news reports, the accident happened a little after 12:30 p.m. ET.
Golfers from nearby Hemlock Ridge Golf Course called police at 12:39 p.m. to alert them of the crash.
A preliminary investigation showed that Beane's Suzuki crossed double solid lines, left the road and hit a tree and a wall on Holland Road, according to WBZ TV in Boston. There were no other passengers in the vehicle.
Beane, who was also a longtime member of the Boston media, became Fenway Park's public address announcer in 2003.
Getting that job was a dream for Beane, who worshipped the late and iconic Fenway Park PA announcer Sherm Feller, who served in that role from 1967-93.
"We are filled with sadness at this tragic news," said Red Sox president/CEO Larry Lucchino. "No one loved his role with the Red Sox more than Carl did his. He adored the opportunity to pay homage each game to Sherm Feller, and to contribute to the culture of Fenway Park, a place he loved passionately. His legion of friends with the Red Sox and the media will miss him enormously, and all of Red Sox Nation will remember his presence, his warmth, and his voice."
"On behalf of John Henry, Tom Werner, our partners, and our entire organization, we extend our deepest sympathies to his wife, Lorraine; his daughter, Nicole; and his granddaughters, Maddie and Gena."
Red Sox players learned of the news in the hours leading up to Wednesday night's game against the Royals.
"Just sad news, you know," David Ortiz said. "It's just shocking. His voice was pretty unique. I'm pretty sure everyone's going to remember that forever."
"It's terrible. It's a big loss for the Red Sox," said right-hander Daniel Bard.
Ortiz started his Red Sox career at the same time Beane became the PA announcer.
"He was something we all got used to," Ortiz said. "I've been here 10 years and I don't remember hearing any other voice but his calling my name when I go to hit. Once in awhile they have the kids out there announcing, but like I said, very unique."
When the Red Sox had their grand 100-year anniversary celebration at Fenway Park on April 20, Beane served as master of ceremonies from his perch on the press-box level of the park.
"As it turns out, the 100-year anniversary of Fenway was the last big event he did, and he did it beautifully," said Red Sox radio broadcaster Joe Castiglione. "This is a tremendous loss for Red Sox Nation."
Beane graduated from Agawam High School in 1971 and the Career Academy School of Broadcasting in 1972, when he began his broadcasting career at WMAS in Springfield.
Beane provided national updates for ESPN Radio, Sirius Satellite Radio, Westwood One, Associated Press and MetroNetworks, and also worked for WBZ Radio in Boston, WBRK in Pittsfield (1974-76), WARE in Ware (1976-94), and WESO in Southbridge (1994-98).
He taught sports broadcasting and play-by-play classes at the Connecticut School of Broadcasting in Needham, Mass. Beane was also a national spokesman for The American Diabetes Association, and he served as a narrator for Talking Books at the Perkins School for the Blind.
Beane's voice welcome fans in the "The Baseball Experience" exhibit at the National Baseball Hall of Fame and Museum in Cooperstown, N.Y.
For many years, Beane served as the manager in the annual Boston vs. New York media game, in which the media members of each city faced off once a year at Fenway Park and once at Yankee Stadium. Beane managed those games in a full Red Sox uniform, with No. 26 on the back of his jersey.
The last game Beane worked at Fenway Park was a 17-inning thriller on May 6 against the Orioles, a game the Red Sox lost.
The Red Sox will pay tribute to Beane prior to Thursday's home game against the Indians.
His family asks that contributions in his memory be donated to the Holland Congregational Church Building Fund (11 Sturbridge Road, Holland, Mass., 01521) and the American Diabetes Association.
Funeral arrangements are incomplete.