It is the third time the band have hit the top spot in the UK and it comes 22 years since they first broke through with their debut album Dookie.
In 2004, they scored their first UK number one album with the career-reviving American Idiot and then topped the charts again in 2009 with 21st Century Breakdown.
According to the Official Charts Company, Revolution Radio outsold its nearest chart rival by a ratio of 2:1.
On hearing the news the band said, "The UK has always been a huge part of our story and to have a chart-topping album at this stage of our career is especially gratifying."
They will then be back in the summer to headline the Barclaycard presents British Summer Time Hyde Park on July 1st in London.