Windmill Lane studios, where U2 recorded their debut album Boy, has been demolished to make way for a new residential and office building.
The one-acre site in the Dublin docklands was bought by the property investment firm Hibernia REIT in 2014.
A spokesperson for Hibernia said in a statement: "The site was acquired with full planning permission (granted to the previous owners in 2011) for demolition of the existing structures and the construction of a mixed-use office, retail and residential development.
"In recent years the derelict site has become a focal point for anti-social behaviour and graffiti that has spread into adjacent streets. The studio itself has been empty for several years and contained no equipment or fittings to indicate its previous use."
A wall covered in graffiti from U2 fans from around the world has been retained as a reminder of the history of the site. The spokesperson explained: "Hibernia is conscious of the historical significance of Windmill Lane and plans to retain a 20-metre stretch of the studio wall."
Van Morrison also recorded there, and U2 returned there to work on their 1987 album The Joshua Tree.