The Birmingham-based band will perform the entire album live at a series of venues across Ireland and the UK, throughout October and November of this year.
Signing Off was heralded as a landmark album when it was released in late August 1980 - mixing reggae and dub, it chronicled the times, and wider social and political issues, as well as the plight of communities throughout the country during the early Thatcher years.
The artwork for Signing Off also famously depicted a replica of the bright yellow unemployment card from which the Birmingham-based band took its name: Unemployment Benefit, Form 40.
The album went on to attain platinum status after spending 71 weeks in charts, peaking at No 2.
It features hit singles King/Food For Thought and I Think It's Going to Rain Today (No 4 and No 6 in the UK singles chart, respectively), along with other UB40 classics such as Tyler, Madam Medusa and Burden of Shame.
UB40 have gone on to become one of the most successful reggae groups of all time, with over forty UK Top 40 hit singles and sales of 80m records across the world.
UB40 saxophonist Brain Travers said: "2010 marks UB40's 30th anniversary, three decades since we started this incredible journey.
"We decided to go back to where we started, downtown to the heart of the cities and the venues where we played our first gigs, then perform our first album Signing Off in its entirety, something we have never done before. Of course, there will also be some surprises, but we'll save them for the night."
"We had to ask ourselves 'How can we celebrate? How can we say thanks to the fans for their unconditional support?'
UB40 will play The Waterfront, Belfast on 21 November; The National Stadium, Dublin on 22 November; and The Royal Theatre, Castlebar on 23 November 2010. Tickets for all shows will go on sale on Friday 13 August at 9am.