1968–1974: Early years and debut album

Rush formed in August 1968 in the Willowdale neighbourhood of Toronto, Ontario by guitarist Alex Lifeson, drummer John Rutsey, and bassist/vocalist Jeff Jones. Lifeson and Rutsey had previously collaborated in two short-lived groups, The Lost Cause and The Projection. The trio performed their debut concert in September at the Coff-Inn, a youth centre in the basement of St. Theodore of Canterbury Anglican Church, and were paid CA$25. The group had no name at the time of the booking; "Rush" was suggested by Rutsey's brother, Bill, who felt the moniker was sufficiently concise, which stuck with the band. During this formative period, the band's repertoire consisted primarily of blues-rock covers by artists such as Cream, Jimi Hendrix, and John Mayall.

1974–1977: Arrival of Neil Peart and foray into progressive rock

After auditioning five drummers, Lifeson and Lee picked Neil Peart, who joined on July 29, 1974, which was two weeks before the group's first US tour. They performed their first concert together on August 14 at the Civic Arena in Pittsburgh, opening for Uriah Heep and Manfred Mann's Earth Band to more than 11,000 people. Peart assumed the role of lyricist; Lifeson and Lee had little interest in the job and recognized Peart's wider vocabulary range from reading regularly. Lifeson and Lee focused primarily on the music, with the new material displaying their influences from progressive rock bands Yes and Pink Floyd. When the U.S. tour concluded in December 1974, Rush had reached its peak of No. 105 on the U.S. Billboard 200 chart.

Fly by Night (1975), Rush's first album with Peart, saw the inclusion of the story song "By-Tor & the Snow Dog", replete with complex arrangements and a multi-section format. Lyrical themes also underwent dramatic changes because of Peart's love for fantasy and science-fiction literature. Despite the new styles, some other songs on the album mirrored the simplistic blues style found on Rush's debut. "Fly by Night" was released as a single that reached No. 45 in Canada. The album reached No. 9 in Canada, where it was certified platinum by the Canadian Recording Industry Association (CAN) for selling 100,000 copies and by the Recording Industry Association of America (RIAA) for selling 1 million copies in the U.S.

1977–1981: Peak progressive era

After the conclusion of the 2112 tour, Rush recorded A Farewell to Kings (1977) and Hemispheres (1978) at Rockfield Studios in Monmouthshire, Wales. The albums had the band members expanding the progressive elements in their music. "As our tastes got more obscure", Lee said in an interview, "we discovered more progressive rock-based bands like Yes, Van der Graaf Generator, and King Crimson, and we were very inspired by those bands. They made us want to make our music more interesting and more complex, and we tried to blend that with our own personalities to see what we could come up with that was indisputably us." Increased synthesizer use, lengthy songs, and highly dynamic playing featuring complex time signature changes became a staple of Rush's compositions. To achieve a broader, more progressive sound, Lifeson began to experiment with classical and twelve-string guitars, and Lee added bass-pedal synthesizers and Minimoog.

1981–1989: Synthesizer-oriented era

The band had another stylistic change with the recording of Signals in 1982. While Lee's synthesizers had been featured instruments since the late 1970s, keyboards were shifted from the background to the melodic front-lines in songs like "Countdown" and the opening track, "Subdivisions". Both feature prominent lead synthesizer lines with minimalistic guitar chords and solos. Other previously unused instrument additions were seen in the song "Losing It", featuring collaborator Ben Mink on electric violin.

1989–2000: Return to guitar-oriented sound and hiatus

Rush started to deviate from its 1980s style with the albums Presto (1989) and Roll the Bones (1991). Produced by record engineer and musician Rupert Hine, these two albums saw Rush shedding much of its keyboard-saturated sound. Beginning with Presto, the band opted for arrangements notably more guitar-centric than the previous two studio albums. Although synthesizers were still used, they were no longer featured as the centre-piece of Rush's compositions. Continuing this trend, Roll the Bones extended the use of the standard three-instrument approach with even less focus on synthesizers than its predecessor. While musically these albums do not deviate significantly from a general pop-rock sound, Rush incorporated other musical styles such as funk and hip-hop in "Roll the Bones" and jazz in the instrumental track "Where's My Thing?". "Show Don't Tell" from Presto was a No. 1 hit on the US Mainstream Rock Tracks Chart, and while the album reached the Top 10 in Canada, it was less successful in the US (No. 16) and the UK (No. 27). From Roll the Bones, "Dreamline" (No. 1) and "Ghost of a Chance" (No. 2) were successful on US Mainstream Rock Radio stations, marking a resurgence of Rush's album sales in the US (No. 3 and platinum), the UK (No. 10) and some other parts of northern Europe.

2001–2009: Comeback, Vapor Trails and Snakes & Arrows

In January 2001, Lee, Lifeson, and Peart came together to attempt to reassemble the band. According to Peart, "We laid out no parameters, no goals, no limitations, only that we would take a relaxed, civilized approach to the project." With the help of producer Paul Northfield, the band produced seventy-four minutes of music for their new album Vapor Trails, which was written and recorded in Toronto. Vapor Trails marked the first Rush studio recording to not include any keyboards or synthesizers since Caress of Steel. According to the band, the album's developmental process was extremely taxing and took approximately 14 months to finish, the longest they had ever spent writing and recording a studio album. Vapor Trails was released on May 14, 2002; to herald the band's comeback, the single and lead track from the album, "One Little Victory", was designed to grab the attention of listeners with its rapid guitar and drum tempos. The album was supported by the band's first tour in six years, including first-ever concerts in Brazil and Mexico City, where they played to some of the largest crowds of their career. The largest was a capacity crowd of 60,000 in São Paulo. Vapor Trails peaked at No. 3 in Canada and No. 6 in the US, while selling disappointingly in the UK, where it peaked at No. 38.

2009–2013: Time Machine Tour and Clockwork Angels

On February 16, 2009, Lifeson remarked that the band might begin working on a new album in the fall of 2009, with Nick Raskulinecz again producing. In November 2009, Lee, Lifeson and Peart were awarded the International Achievement Award at the annual SOCAN Awards in Toronto. On March 19, 2010, the CBC posted a video interview with Lee and Lifeson in which they discussed Rush's induction into the Canadian Songwriters Hall of Fame on March 28, 2010, at the Toronto Centre for the Arts' George Weston Recital Hall. The band was recognized for the songs "Limelight", "Closer to the Heart", "The Spirit of Radio", "Tom Sawyer" and "Subdivisions". In addition to discussing their induction, Lee and Lifeson touched on future material, with Lee saying, "Just about a month and a half ago we had no songs. And now we've been writing, and now we've got about 6 songs that we just love..." On March 26, 2010, in an interview with The Globe and Mail, Lifeson remarked that there was even the potential for two supporting tours. Soon afterwards, Peart confirmed that Raskulinecz had returned as co-producer.

2013–2020: R40 Tour, disbandment and Peart's death

On November 18, 2013, Lifeson said that the band would take a year off after the completion of the world tour in support of Clockwork Angels. "We've committed to taking about a year off", Lifeson said. "We all agreed when we finished this [Clockwork Angels] tour [in early August], we were going to take this time off and we weren't going to talk about band stuff or make any plans. We committed to a year, so that's going to take us through to the end of next summer, for sure. That's the minimum. We haven't stopped or quit. Right now we're just relaxing. We're taking it easy and just enjoying our current employment."

In September 2014, the Rush R40 box set was announced to commemorate the 40th anniversary of the release of the band's self-titled debut album. It included five previously released live video albums, and various previously unreleased footage from across the band's career. On January 22, 2015, the band announced the Rush R40 Tour, celebrating the 40th anniversary of Peart's membership in the band. The tour started on May 8 in Tulsa, Oklahoma, and wrapped up on August 1 in Los Angeles.

2021–2025: Post-Rush activities