Steve Harley, the 1970s British rock star who topped U.K. music charts with the single “Make Me Smile,” died on Sunday. He was 73.

He died at his home, his family said on Facebook. No cause was given but Mr. Harley had announced last month that he would step away from the stage to undergo treatment for cancer and previously canceled several concerts scheduled for this year.

Mr. Harley was the frontman of the band Cockney Rebel, which he formed in the early 1970s.

His biggest hit was the 1975 single “Make Me Smile,” in which Mr. Harley’s even-keeled vocals and melancholic lyrics cruise over instrumentals bearing the optimistic sound distinct to bands of the era. The song hit the top of the British charts in February of that year.

Cockney Rebel graced the British charts with other releases, including the 1974 single “Judy Teen,” which peaked at No. 5 on the charts that year, and a funky cover of “Here Comes the Sun” by the Beatles in 1976.

Other songs found success outside of Britain.

“Sebastian,” a single featured on the band’s debut 1973 album, “The Human Menagerie,” wound up being a No. 1 hit in Belgium and the Netherlands, according to Mr. Harley’s website.