Maxwell Lemuel Roach was born January 10, 1924, in the small community of Newland, in rural Pasquotank County, North Carolina, and moved with his family to Brooklyn, New York, while still a small child. He grew up in a musical, church-going household, started on piano at eight, switched to drums at ten, and was soon playing in Brooklyn gospel and church bands. By his late teens he was already good enough to work New York's after-hours scene, and in 1942 he was named house drummer at Monroe's Uptown House in Harlem — one of the two clubs, alongside Minton's Playhouse, where a loose community of musicians including Charlie Parker and Dizzy Gillespie was quietly building the vocabulary of bebop out of after-midnight jam sessions. Roach's first professional recording date came in December 1943, backing tenor saxophonist Coleman Hawkins; within a few years he was one of the most in-demand drummers in New York, cutting sessions with Parker and Gillespie, including the sides later anthologized as Bird/Diz/Bud/Max on Savoy, that helped define what a bebop rhythm section could sound like.

Roach and drummer Kenny Clarke share credit for bebop's central rhythmic innovation: moving jazz's steady pulse off the bass drum and onto the ride cymbal, which freed the bass drum, snare, and hi-hat for irregular accents — "dropping bombs" — that could shadow and answer a soloist's phrasing in real time rather than simply keeping time under it. The shift turned the drummer from a metronome into an equal conversational voice in the band, and Roach, the most harmonically and rhythmically advanced of that first generation of bebop drummers, became the style's model. That standing was cemented on May 15, 1953, when he joined Parker, Gillespie, pianist Bud Powell, and bassist Charles Mingus for a single Toronto concert released as Jazz at Massey Hall — billed as "The Quintet" because Parker, under contract to a rival label, was credited as "Charlie Chan" — still routinely cited as one of the greatest live jazz recordings ever made.

In 1954 Roach co-led a new working quintet with 23-year-old trumpeter Clifford Brown, jointly billed as the Clifford Brown-Max Roach Quintet, with saxophonist Harold Land (later Sonny Rollins), pianist Richie Powell — Bud Powell's younger brother — and bassist George Morrow. Across barely two years the band cut a run of EmArcy albums, Clifford Brown and Max Roach (1954), Study in Brown (1955), and At Basin Street (1956), still treated as a high-water mark of the hard bop the Quintet did as much as any band to define. The run ended in tragedy: on June 26, 1956, Richie Powell's wife Nancy, driving so the exhausted band could rest, lost control of their car on a rain-slicked Pennsylvania highway; Brown, Richie Powell, and Nancy Powell were all killed instantly. Roach, who was not in the car, was left to rebuild a working band around the sudden death of a 25-year-old trumpeter who many considered his musical equal.

He rebuilt fast. Sonny Rollins and Kenny Dorham filled out a reconstituted quartet on Jazz in 3/4 Time and +4 (both 1957), and in 1958 Roach signed to Riverside for Deeds, Not Words, a quintet date introducing 20-year-old trumpeter Booker Little, who stayed close to Roach's circle until his own death from kidney failure in 1961. Late in the decade Roach also led a working group built around trumpeter Tommy Turrentine and his brother, saxophonist Stanley Turrentine, alongside trombonist Julian Priester — the band behind Quiet As It's Kept, Rich Versus Roach (a summit meeting with drummer Buddy Rich), and Moon Faced and Starry Eyed (all 1959), with Roach in turn drumming on Tommy Turrentine's own sole outing as a leader, Tommy Turrentine (1960, Time). Detroit pianist Barry Harris briefly toured with the band in 1956, called in to replace the just-killed Richie Powell, and stayed loosely connected to Roach's circle into the early 1960s.

Roach's political convictions, always present, became explicit in his music at the turn of the decade. He and lyricist Oscar Brown Jr. began developing a suite in 1959 aimed at the 1963 centennial of the Emancipation Proclamation, but the momentum of 1960's civil rights movement — the Greensboro sit-ins chief among them — pushed the project onto record that fall instead. We Insist! Max Roach's Freedom Now Suite, released on Candid in January 1961, paired his drumming with singer Abbey Lincoln's wordless cries and screams and a horn section including Coleman Hawkins, across five movements tracing three centuries of African American and African history. Roach and Lincoln, already creative partners, married in 1962; the same conviction carried through Percussion Bitter Sweet (1961, again with Lincoln, plus Eric Dolphy and Booker Little) before the marriage ended in divorce in 1970.

Through the 1960s Roach also worked as a genuine equal rather than a leader on two of the decade's most unusual summit sessions: Money Jungle (1962), a trio date with Duke Ellington and Charles Mingus recorded September 17, 1962, and a run of albums for Atlantic — Drums Unlimited (recorded 1965-66), whose title track is an unaccompanied drum solo built like a through-composed piece rather than a display of technique, and Members, Don't Git Weary (1968), a harder-edged session recorded soon after Martin Luther King Jr.'s assassination. In 1970 Roach co-founded M'Boom, a collective percussion ensemble built with players including Freddie Waits, Warren Smith, Joe Chambers, Roy Brooks, Omar Clay, and Ray Mantilla, treating the full family of tuned and untuned percussion — marimba, timpani, vibraphone, gongs, musical saw — as a compositional resource rather than a rhythm section; the group's self-titled 1980 Columbia album, recorded in 1979, is the clearest studio document of that idea. Roach joined the faculty of the University of Massachusetts Amherst in 1972, teaching there and helping found the school's Jazz in July program, until his retirement in the mid-1990s. Lift Every Voice and Sing (1971), pairing his quintet with the J.C. White Singers on the hymn known as the Black national anthem, closed out the decade's explicitly political run.

Roach's political reach went international in 1976 with Force: Sweet Mao — Suid Afrika '76, a duo recording with saxophonist Archie Shepp whose subtitle referenced apartheid-era South Africa. The 1980s brought new formats: Chattahoochee Red (1981, Columbia), a quartet date with saxophonist Odean Pope; the Max Roach Double Quartet, pairing his working jazz group with the Uptown String Quartet, led by his daughter, violist Maxine Roach; and, on December 15, 1979, a fully improvised, unrehearsed duo concert with pianist Cecil Taylor at Columbia University, released in 1984 as Historic Concerts — a deliberate meeting between a founder of bebop and a leading voice of the jazz avant-garde that neither man attempted before or repeated. In 1988 Roach became the first jazz musician awarded a MacArthur Fellowship, the "genius grant" recognizing both his musical innovations and his decades of political and educational engagement; he had already been named a National Endowment for the Arts Jazz Master in 1984. He kept expanding his range into his late sixties: To the Max! (1992, Enja), a two-disc set recorded live and in the studio across 1990-91, moved between his working quartet, the Double Quartet, and a big band.

Health problems, including hydrocephalus, curtailed Roach's live performing after the early 2000s, and dementia further narrowed his final years. He died in his sleep in New York City on August 16, 2007, at age 83.

Roach's foundational contribution — shifting the rhythmic center of jazz drumming from the bass drum to the ride cymbal, alongside Kenny Clarke — remade the instrument's role in the music before he turned thirty, elevating the drummer from timekeeper to an equal improvising voice. That technical innovation was matched by a compositional instinct rare among drummers of his generation: Drums Unlimited's unaccompanied title track and the tuned-percussion writing of M'Boom both treat the drum kit and its extended family as instruments capable of melody and form, not just rhythm. Running alongside the music throughout his career was an explicit, unembarrassed political commitment — from We Insist! Freedom Now Suite's direct engagement with the civil rights movement through Force: Sweet Mao's anti-apartheid subtitle — that established a template other jazz musicians have followed for using the music as a vehicle for social commentary rather than treating the two as separate. His late-career willingness to work as a true equal outside his own idiom, whether alongside Duke Ellington and Charles Mingus on Money Jungle or in an unrehearsed duo with avant-gardist Cecil Taylor, marked him as a musician who kept seeking new contexts to test his own vocabulary well into his sixties.