"Scorch-o-Rama would like to apologise for any offence caused by a comment that was put on the bottom of our receipts," the Facebook post read.
"The comment was in bad taste and has been removed. We apologise again for any hurt or distress we caused people - it was absolutely never our intention."
Mr Morrison said jokes were always printed on the receipts, but he was now considering stopping the practice.
"Obviously this one hasn't gone down well."
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He had received two complaints about it at the cafe, he said. All other jokes that had been used had all been "pretty safe" because of the number of families that come into the cafe, Mr Morrison said. "Honestly, I'm s***ing myself that I've made a massive error."
He said he would display his cellphone number in the cafe's window, so anyone who was upset could speak directly to him.
One message on its Facebook page asked how the company would address the nature of the joke, which was making light of a woman's violent death.
