Based in Los Angeles, the trio met in college at the University of Southern California and began working together in 2013 with Maskin and McPherson playing together on guitars and Gavin adding synth bass and vocals.

[8] The two guitarists, Maskin and McPherson, had been used to playing ska and progressive rock, but settled on a different sound when their initial collaboration with singer Gavin resulted in a pop song.

[10] Muna played Lollapalooza 2016 in Chicago in July 2016,[11] toured America with Grouplove in the fall of 2016, and made their late-night network television debut on November 7, 2016, on The Tonight Show Starring Jimmy Fallon.

In 2017, their song "I Know a Place" was featured in The Carmilla Movie, following the original web series based on Sheridan Le Fanu's novella of the same name.

[14][15] It was then announced in May 2021, that Muna had signed with Phoebe Bridgers' record label Saddest Factory, which operates in partnership with Secretly Group's Dead Oceans.

[23] The album's third single "Kind of Girl" was released in April 2022, alongside a Western-inspired video with the trio playing "with the gendered nature of the song".

[27] The trio also released their cover of Britney Spears' "Sometimes" (1999) for the Hulu LGBTQ American romantic comedy film Fire Island in June 2022.

[30] In March 2023, Muna performed to a sold-out crowd of 15,000 people at the closing ceremony of WorldPride Sydney, alongside Ava Max and Kim Petras.

[38] Initially wary of being pigeonholed as a "queer band", Muna later came to embrace the opportunity to use their musical fame to help inspire younger people to be comfortable with their identities.

[41] In June 2020, in honor of the 50th anniversary of the first LGBTQ pride parade, Queerty named Muna among the fifty heroes "leading the nation toward equality, acceptance, and dignity for all people".

[44][45][46][47] The official description reads, in part, "Having been described by the press as 'occasionally hard-to-follow,' 'as chaotic as they are iconic,' and 'going through it,' the band MUNA started this podcast with the hope of providing not only more income, but also rare insight into the behavior of queers outside of the month of June."

The podcast often features special guests, many of whom are queer, such as Phoebe Bridgers, Lucy Dacus, Julien Baker, Tegan and Sara, and Clea Duvall.