The versatile performer--known for her talent in blending the innocence of youth and the sensuality of womanhood--was 55.
Tumors had been found on her kidneys and lungs in 1989 after she fell ill while making a film in France.
"This has been a slow slide and it finally came about," her publicist Dick Winters said. He added that Miss Remick had undergone only physical therapy to cope with the cancer in recent months.
Relatives were at her bedside when she died, Winters said.
In her final public appearances, a very frail Miss Remick received a star on the Hollywood Walk of Fame on April 29. A week later, she again appeared pale and weary when she was honored by the Winston Churchill Society in a ceremony at the Queen Mary in Long Beach. She had played Churchill's mother in a TV special.
Her diversity was evident throughout what proved a lengthy career for a woman who died so young. From her Broadway stage debut in 1953 to her final appearance in "Love Letters" at the Canon Theater in Beverly Hills last summer, her characters covered a wide range.
Besides playing the dipsomaniac mate of Jack Lemmon in the 1962 "Wine and Roses," which brought her an Academy Award nomination, she was a nervous wreck in " The Women's Room," a tough piano coach in "The Competition," a nymphomaniac in "The Detective" and a rape victim in the remake of "The Letter."
Most recently, Miss Remick starred as the indifferent mother to Marlee Matlin in the 1989 television movie "A Bridge to Silence."
The actress appeared in 28 motion pictures, including "A Face in the Crowd," "The Long Hot Summer," "Experiment in Terror," "Wild River," "Sanctuary," "The Wheeler Dealers," "Travelin' Lady," "Anatomy of a Murder," "Tribute" and "The Omen."
In addition to Lemmon, her leading men included Andy Griffith, Paul Newman, Orson Welles, James Stewart, George C. Scott, Montgomery Clift, Gregory Peck, Burt Lancaster, Steve McQueen and Frank Sinatra.
They remembered her with fond admiration:
Lemmon said: "Knowing and working with Lee will always remain one of the most joyous experiences of my life. She was precious, and certainly the embodiment of grace."
Peck, who played Miss Remick's husband in the 1976 movie "The Omen," said the actress possessed "a rare quality, which I would call a depth of womanliness. She played her on- and off-screen roles with an open heart, an open mind, keen intelligence and honest emotion.
"She made all of her leading men look good," Peck said. "I will never forget this clear-eyed Yankee girl."
Charles Bronson starred as a Soviet agent opposite Miss Remick in the 1977 espionage thriller "Telefon."
"I am so sorry she is gone. She was a beautiful, warm and giving individual as well as a very unselfish and professional actress."
Actress Angela Lansbury, who starred with Miss Remick in "Anyone Can Whistle," an early but short-lived Stephen Sondheim musical, said she "was such a brave and extraordinarily positive-thinking person. She never gave into the cancer for one second."
Unlike many of her peers, Miss Remick moved frequently between motion pictures and television.