"I have been informed that Union Jack stickers are being put on food products from the province in a number of food retail outlets throughout the Republic of Ireland," he added.
"This is ridiculous and I fully intend bringing the matter up with the Irish Farmers Association's representative in Brussels. I would also encourage the Ulster Farmers' Union to raise this matter with their colleagues in Dublin."
Jim Nicholson continued: "This is not a political issue. The reality is that the entire island of Ireland has traditionally been a single market for agri food produce.
"Moreover, the food industry in the Republic of Ireland exports
70 per cent plus of its output to other countries, including the UK."
Mr Nicholson went on to point out that the farming and food industries throughout the island of Ireland must work as closely as possible together.
"Co-operation is the name of the game," he stressed.
"We have done this in the past and I see no reason why this cannot continue to be the case in the future."
The value of cross border trade in farm and food produce amounts to millions of pounds on an annual basis.
Over the past number of years, the exchange rate between Sterling and the Euro has determined the extent of this trade and in which direction it takes place.
For example, the recent strengthening of the Euro has made food produce from the Republic of Ireland relatively uncompetitive on the UK market.
In contrast, however, farmers from the Republic have been keen buyers of second hand farm machinery in Northern Ireland because they have been able to get more pounds for their Euros.