The two newly-announced dates are at Birmingham’s Utilita Arena on April 7 and The O2 in London on April 30.
In 1977, the group saluted what is now the longest-running TV football show in the world.
It barely touched the UK chart, but the album is revered by fans as a Genesis landmark.
The band scaled new peaks with their first album of the 1980s.
The virtual festival began last Saturday with a stream of the band's 'Three Sides Live' concert film.
The action starts tonight, 18 April, with a screening of 1983's Stuart Orme-directed 'Three Sides Live' film.
Following Steve Hackett’s departure, Genesis entered their second act with, And Then There Were Three, retaining their prog sensibilities with killer hooks.
It was more than a surprise when, on the chart of 6 April 1974, Genesis made their first-ever showing on the UK singles bestsellers.
The freshly-announced dates in Liverpool, Newcastle, Leeds, Birmingham, Manchester and Glasgow, taking the tour up to 16 performances.
The trek will be Tony Banks, Phil Collins and Mike Rutherford’s first live outing together since the sell-out 'Turn It On Again: The Tour' in 2007.
Genesis have become synonymous as the last word in epic, dramatic prog rock and, in latter days, as purveyors of some of the most memorable technical pop to be made in Britain.
When Phil Collins took the vocal reins from the departed Peter Gabriel, fans soon gave the new era their seal of approval.
A wryly humourous piece of pop perfection, ‘I Can’t Dance’ filled dancefloors the world over with fans emulating its ironic video.
Hackett says: “I’m thrilled to bring 'Seconds Out' back to life, featuring Genesis material at its most exciting and virtuosic."
Collins' son Nicholas has already been performing live on his father's ongoing 'Not Dead Yet!' solo tour.