After gaining popularity worldwide, they signed to American independent label Sacred Bones Records in 2020, who reissued their albums, marking their first releases in North America.

[2] They self-released their debut studio album, S krysh nashikh domov (Russian: С крыш наших домов, 'From The Roofs of Our Houses'), on 24 April 2017.

[11] In January 2020, Molchat Doma signed with American independent label Sacred Bones Records, who later reissued their first two albums on vinyl in North America.

[18] In 18 November 2023, the band performed at the Darker Waves Festival in Huntington Beach, California with Tears for Fears, New Order, The Human League, Echo & the Bunnymen and others.

[19] In 11 June 2024, the band announced their fourth album through Sacred Bones, titled Belaya Polosa (White Stripe) they also premiered the first single, Son (Dream), with an accompanying music video directed by Bryan M.

[22] During their 2024 European tour, the band recorded live renditions of the three songs Toska (Yearning), Chernye Tsvety (Black Flowers), and Sudno (Bedpan) outside Zdeněk Řihák's iconic Panorama Hotel in Štrbské Pleso, Slovakia, which featured on the cover of their album Etazhi.

Molchat Doma have stated that they were influenced by 1980s Russian rock music from the Perestroika era, most notably the band Kino.

[27] Pitchfork's Cat Zhang described Shkutko's vocals as "spectral and disembodied", also pointing out that his "droning voice" is often "clouded in reverb".

It typically features cold and gloomy atmospheres, sad and introspective lyrics usually focusing on loneliness, and an overall dystopian sound, all of which writers have connected Molchat Doma's music to.

[32][33][34] Many of their songs have appeared on "doomer playlists" as well as videos of gameplay and episodic miniseries featured from the 2017 tactical first person shooter Escape from Tarkov on YouTube as a result; this also played a part in the band gaining popularity through the platform.