The Lewes-based group have issued David Koresh Superstar through their own Corporate Records label.
A concept album about the Waco siege, the record is available digitally on a pay-what-you-like basis and also physically on CD. The album is the follow-up to last year's Songs For Swinging Lovers.
"With a cast that includes Carter USM's Jim Bob, David Devant and his Spirit Wife's Vessel and Radio favourite Philip Jeays, David Koresh Superstar is The Indelicates' Masterpiece," a statement read.
Frontwoman Julia Indelicate previously told DS that the band also plan to release an "appendix" of other recordings from their Texas sessions.
The full tracklisting of David Koresh Superstar is as follows:
1. 'Remember The Alamo!'
2. 'The Road From Houston To Waco'
3. 'The Woman Clothed With The Sun'
4. 'I Am Koresh'
5. 'A Single Thrown Grenade'
6. 'I Don't Care If It's True'
7. 'Something Goin' Down In Waco'
8. 'Ballad Of The A.T.F.'
10. 'What If You're Wrong?'
11. 'A Book Of The Seven Seals'
12. 'The Siege'
15. 'John The Revelator'
Watch The Indelicates 'I Am Koresh' music video below: