The move will not impact its parent company in the UK, which will continue to trade through its 344 stores and its website.
A 30-day staff consultation process will now commence for New Look employees in the Republic of Ireland over the coming days.
New Look employs about 347 staff across its 26-store network in the Republic of Ireland.
The company has stores in areas across Dublin, Cork, Galway, Wicklow and Letterkenny in County Donegal.
A majority of its stores are of small to medium size, employing an average of 12-13 staff per store.