Members of the public were left shocked at the abusive message - announced over the company tannoy system in Ballymena on Tuesday night.
It has been reported that the words were shouted out by a member of the public who was able to access the tannoy announcement equipment.
A Tesco spokesperson has said: “We are aware of an incident that took place at our superstore in Ballymena yesterday evening and have reported this to the police.”
The spokesperson added: “We apologise to any customers who were in the store when it happened.”
A PSNI spokesman said it is being treated as a “hate incident”.
“Police in Ballymena received a report of an incident at a shop on the Larne Link Road in Ballymena on Tuesday 13th October,” he said.
“It was reported that a male youth accessed the Tannoy system at around 10.20pm on Tuesday evening and shouted a sectarian comment.
“Enquiries into the matter are ongoing and anyone with information is asked to contact police in Ballymena on the non-emergency number 101, quoting reference number 643 14/10/20. “
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