The Mercury nominated singer released her third album last Monday, following on from 2009′s Two Suns.
Elsewhere in the charts, Jake Bugg scored the top spot with his debut release, while last week’s number one, Mumford & Sons, dropped to second place.
You can read the Best Fit review of Bat For Lashes’ The Haunted Man here.
This week’s top ten is as below:
1. Jake Bugg – Jake Bugg
2. Mumford & Sons – Babel
3. Leona Lewis – Glassheart
4. Muse – The 2nd Law
5. Rebecca Ferguson – Heaven
6, Bat For Lashes – The Haunted Man
7. Ellie Goulding – Halcyon
8. Pink – The Truth About Love
9. Emeli Sande – Our Version of Events
10. Art Garfunkel – The Singer
For the full Top 100, head here.