Joe Cocker, the gravelly British singer who became one of pop’s most recognizable interpreters in the late 1960s and ’70s with passionate, idiosyncratic takes on songs like the Beatles’ “With a Little Help From My Friends,” died on Monday at his home in Crawford, Colo. He was 70.

The cause was lung cancer, his agent, Barrie Marshall, said.

Mr. Cocker had been a journeyman singer in Britain for much of the 1960s, building a reputation as a soulful barreler with full-throated versions of Ray Charles and Chuck Berry songs. But he became a sensation after his performance of “With a Little Help From My Friends” at the Woodstock music festival in 1969.

His appearance there, captured in the 1970 concert film “Woodstock,” established him as one of pop’s most powerful and irrepressible vocalists. With his tie-dyed shirt and shaggy mutton chops soaked in sweat, Mr. Cocker, then 25, pleadingly teased out the song’s verses — “What would you do if I sang out of tune?/Would you stand up and walk out on me?” — and threw himself into repeated climaxes, lunging and gesticulating in ways that seemed to imitate a guitarist in a heroic solo.

On Twitter, Ringo Starr wrote on Monday, “Goodbye and God bless to Joe Cocker from one of his friends.” In a statement, Paul McCartney recalled hearing Mr. Cocker’s record of the song. “It was just mind-blowing, totally turned the song into a soul anthem,” he said, “and I was forever grateful for him for having done that.”

After Woodstock, Mr. Cocker toured widely and took his place as perhaps the rock world’s most distinctive interpreter of others’ songs — an art then going out of fashion with the rise of folk-inspired singer-songwriters and groups, like the Beatles, that wrote their own material.

His other hits included a version of the Box Tops’ hit “The Letter” and the standard “Cry Me a River,” both in 1970, and “You Are So Beautiful,” in 1975. His only No. 1 single was “Up Where We Belong,” recorded as a duet with Jennifer Warnes for the 1982 film “An Officer and a Gentleman,” for which he won his only Grammy Award.