Conditional dealings in the shares, which will be priced at €1, will commence at 8am on 10 June.
The company’s founders are also to invest around €29m in equity and cash in the company.
Cairn Homes’s focus is on delivering homes in Ireland’s cities, including greater Dublin, Galway and Cork.
John Reynolds, chairman of Cairn Homes, said: “The Irish economic backdrop continues to improve, underlined by the fact that Ireland has the joint-highest GDP growth forecast in the European Union.
“These strong macroeconomic conditions, together with a population that is forecast to increase to 5m by 2031, will underpin a strong demand for homes over the coming years. We believe that this is a unique opportunity for our company, our customers, potential investors and the sector.”