The £200 million project, backed by both the Irish Rugby Football Union and the Football Association of Ireland, was granted planning last week, and is the culmination of two-and-a-half years' work (HOK unveils 'shimmering' Dublin stadium plan).
According to the practice, the scheme will provide an 'ephemeral addition' to Dublin's skyline - 'its form, mass, materials and aspect are all defined by the site and its surroundings'.
The stadium will take on a 'shimmering form' due to its transparent facade, and it will rise in both the east and west, while falling in the north and south to reduce the impact it will have on the surrounding neighbourhoods.
The Irish planning board, An Bord Pleanála, said in a statement that the planning decision was made easier by the design being so 'site specific', as it took into account local properties.
Both the Irish rugby and football teams hope to be back playing in front of a Lansdowne crowd by the start of the 2009/10 season.
The previous Lansdowne Road stadium was the oldest rugby stadium in the UK, built in 1872, and it staged the first ever international match in 1878 when Ireland played England.
Both the national football and rugby teams are currently using the nearby Croke Park, which has a capacity of 82,500.