Neil Peart, the pyrotechnical drummer and high-concept lyricist for the Canadian progressive-rock trio Rush, died on Tuesday in Santa Monica, Calif. He was 67.

The cause was brain cancer, according to a statement by the band’s spokesman, Elliot Mintz.

Rush was formed in 1968 but found its long-term identity — as the trio of Geddy Lee on vocals, keyboards and bass, Alex Lifeson on guitars and Mr. Peart on drums — after Mr. Peart replaced the band’s founding drummer, John Rutsey, in 1974.

Mr. Peart’s lyrics transformed the band’s songs into multi-section suites exploring science fiction, magic and philosophy, often with the individualist and libertarian sentiments that informed songs like “Tom Sawyer” and “Freewill.” And Mr. Peart’s drumming was at once intricate and explosive, pinpointing odd meters and expanding the band’s power-trio dynamics; countless drummers admired his technical prowess.