The band initially consisted of vocalist Matěj Ruppert, guitarist Oldřich Krejčoves, bassist Pavel Mrázek, drummer Martin Houdek, and keyboardist Ondřej Brousek.

Their debut album, Why Be in When You Could Be Out, was released in 2000 and included contributions from Iranian-Czech percussionist Imran Musa Zangi and American trombonist Fred Wesley.

Monkey Business released their second album, Save the Robots, in 2001, and it once again featured contributions from Fred Wesley as well as drummer Dennis Chambers, guitarist Hiram Bullock, and singer Dan Bárta.

The band's third record, Resistance Is Futile, came out in 2003 and included work by Iva Bittová, Jiří Stivín, Roman Dragoun, and Hiram Bullock.

[7] Tonya Graves left Monkey Business in 2016, and she was replaced on vocals by Tereza Černochová before the 2018 release of Bad Time for Gentlemen.