The new museum has the band's full support. Ulvaeus has offered daily direction to some of the 50 staff involved with the final preparations.
"We were all won over by the idea," he said.
The Stockholm museum also features a 1970s disco dance floor for visitors to practise their moves, a space where they can audition to be the "fifth" member of the band and offers the opportunity to sit inside the helicopter that featured on the Arrival album cover.
Among the other exhibits are a room documenting how the band met in the 1960s and a recreation of a cottage on the island of Viggso that they used for writing songs.
The museum will also house a Swedish Music Hall of Fame and an exhibition chronicling the history of Swedish popular music.
Abba have sold almost 400 million albums around the world and a film featuring their hits, Mamma Mia!, is the most successful musical movie of all time. Almost 50 million people have seen the stage version of the production.