Cathy told Atlanta TV station WXIA in an interview released 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 kicked up a storm of protest and support this summer with comments opposing 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.
Cathy's father started the Atlanta-based company in 1967.