[citation needed] The centre was opened on 23 October 1990, in the presence of 45,000 people, by then Taoiseach Charles Haughey, having been built at a cost of £85 million.

Others who were in attendance included Gay Byrne, who hosted his radio show from the "Crows Nest" in the shopping centre, as well as Mary Harney, Pat Rabbitte, the then Director-General of RTÉ Vincent Finn and the Fine Gael leader at the time Alan Dukes.

[2] On 23 October 2020, it was announced that the planned expansion of The Square had been postponed, with management Sigma Retail Partners blaming the COVID-19 pandemic.

[3][4] The Square is not only a commercial but also a civic centre, the Office of the Revenue Commissioners have an office there as does the Department of Social Protection, the Health Service Executive (HSE) the Eastern Region and FÁS share a building on the car park of level one.

Meanwhile, Go-Ahead Ireland provide orbital routes, such as the S6, S8, W2, W4, and W6, that link The Square to other local areas, such as Dundrum, UCD, Blackrock, Sandyford, Dún Laoghaire, Clondalkin, Lucan, Blanchardstown, Citywest, Newcastle and Maynooth [6]