The group have enjoyed two Number 1 albums - 2009's Lungs and last year's Ceremonials - whilst their highest charting single to date was 2009's You've Got The Love, which reached Number 5, and in 2010 a reworking by Dizzee Rascal, entitled You Got The Dirtee Love, reached Number 2.
Last week's No.1, Payphone by Maroon 5 falls one place, while Will.I.Am holds at No. 3 with This Is Love.
Chris Brown's Don't Wake Me Up drops two places to No. 4, whilst Stooshe's Black Heart is at No.5.
In addition to Florence And The Machine's Spectrum (Say My Name) (Number 1), there are just two other new entries on today's Official Singles Chart.
Adam Lambert's latest single Never Close Our Eyes debuts at No. 17 while The Vaccines are new at No. 37 with No Hope.
Rizzle Kicks are this week's highest climbers with Mama Do The Hump up 23 places to re-enter the Official Singles Chart Top 40 at Number 33, while David Guetta's I Can Only Imagine FT Lil Wayne and Chris Brown is up 22 places to Number 21.
The Official Singles Chart Top 5::
1 SPECTRUM FLORENCE & THE MACHINE
2 PAYPHONE MAROON 5 FT WIZ KHALIFA
3 THIS IS LOVE WILL I AM FT EVA SIMONS
4 DON'T WAKE ME UP CHRIS BROWN
5 BLACK HEART STOOSHE