Cathy told WXIA-TV in an interview published Wednesday that families are important to "those of us who are concerned about being able to hang on to our heritage."
He added "we support Biblical families, and they've always been a part of that."
Cathy made the comments over the weekend at an event at his family's Georgia ranch.
Cathy set off a furor this summer, when he reaffirmed his opposition to same-sex marriage. Long lines formed outside Chick-fil-A restaurants on an "appreciation day" and opponents countered with "kiss-ins" by same-sex couples.
His father, S. Truett Cathy, started the Atlanta-based company in 1967.