Mexx will continue to wholesale in the UK but will close its three stores in Edinburgh, London's Oxford Street and Covent Garden. It will also shut its 58 concessions in House of Fraser and John Lewis by the end of July.
Mexx's 15 factory outlets in the UK will continue to trade and the company will retain its main UK office in Dublin.
Mexx has around 260 wholesale accounts in the UK, mainly in Ireland.
The closures will affect about 300 jobs.
Mexx is Liz Claiborne's biggest brand with sales of around $1.2 billion (£600 million). It is based with Amsterdam.