Florence and the Machine has gone straight to number one in the UK with her second album Ceremonials, which sold more than 90,000 copies in its first week.
Florence Welch's 2009 debut album Lungs eventually went to number one, after sitting in the chart for several weeks. It has sold more than a million copies.
Lungs also won best British Album at the 2010 Brit Awards.
Professor Green's Read All About It remained as the UK's number one single.
Professor Green's hit, which features singer Emile Sande, held Rihanna's We Found Love at number two.
The rapper's second album, At Your Inconvenience, entered the chart at number three, following his 2010 debut Alive Til I'm Dead, which peaked at number two.
Former X Factor contestant Cher Lloyd's second single With Ur Love, featuring singer Mike Posner, was the chart's highest new entry at number four.
The other new entries in the top 10 singles chart were singer/songwriter Ed Sheeran's Lego House, which climbed from 12 to six.
DJ David Guetta's Without You, featuring Usher, re-entered at 10, up from 13 last week.
The Official Charts Company also says that digital album sales now account for more than a quarter of total album sales - 26.2% - up from 17.5% last year.
Sales of digital albums have already broken last year's record, with 21.3 million copies being downloaded so far.
So far this year, Lady Gaga, Jessie J and Ed Sheeran are among the acts who have sold in excess of 100,000 digital copies of their albums.
Geoff Taylor, chief executive of the BPI, said this year may see the one million weekly sales mark for digital sales broken for the first time.