Their last album of new material, titled The Visitors, was released in November 1981 and they parted ways soon after, despite never officially splitting up.
Last month the band sparked excitement among fans as they launched a website called Abba Voyage, which asked fans to register on the landing page and teased: “The wait is nearly over…” and on Monday they joined social media site TikTok.
The pop group were catapulted to worldwide success after winning the Eurovision Song Contest with Waterloo when the event was held in Brighton in 1974.
They have since sold more than 400 million albums and singles.
The popular quartet parted ways after last performing together in 1982 following a successful 10-year stint.
In 2018 they announced they had recorded new material, but the release of the songs has been delayed.
The musical Mamma Mia!, based on their songs, premiered in London in 1999 and became a worldwide hit.
Two movie versions – Mamma Mia! and Mamma Mia! Here We Go Again – pulled in an A-list cast including Meryl Streep, Dame Julie Walters, Colin Firth and Pierce Brosnan.