Keys's fourth album, which has been in the charts for eight weeks, climbed up one place to claim the top spot.
Corinne Bailey Rae entered at number five with her second album The Sea, while Ke$ha's debut Animal reached number eight. Meanwhile, Peter Andre's Unconditional Love Songs went straight in at number nine.
However, Hot Chip failed to break the top ten with One Life Stand, charting at number eleven, while Justin Bieber dropped eleven places to 19 with My World.
Pixie Lott's Turn It Up also fell out of the top ten, slipping to number 17, while last week's number nine, Only Revolutions by Biffy Clyro, moved down to number 14.
Meanwhile, Journey, whose hit 'Don't Stop Believin' has been in the top ten for weeks and has been covered by the cast of Glee, entered the album charts at number 12 with Greatest Hits.
The top ten albums in full (click where possible for our reviews):
1. (2) Alicia Keys: 'The Element Of Freedom'
2. (4) André Rieu: 'Forever Vienna'
3. (1) Paolo Nutini: 'Sunny Side Up'
4. (3) Florence and the Machine: 'Lungs'
5. (-) Corinne Bailey Rae: 'The Sea'
6. (5) Lady GaGa: 'The Fame Monster'
7. (6) The Chipmunks: 'Alvin & The Chipmunks 2 - The Squeakquel'
8. (-) Ke$ha: 'Animal'
9. (-) Peter Andre: 'Unconditional Love Songs'
10. (7) Mumford & Sons: 'Sigh No More'
Source: Official Charts Company
> Click here for this week's top ten singles