According to National Tuxedo Rentals, the father of the bride wears a tuxedo if the groomsmen are wearing tuxedos. If groomsmen are wearing less formal suits, the bride's father dresses in a similar fashion.
Today's Bride notes that the tuxedo of the bride's father may match the tuxedos of the groom and his groomsmen; however, it is not necessary that they be identical. The source suggests letting the father wear a different colored tie, vest or shirt to make him stand apart from the others. The source also mentions that the father of the groom dresses in a similar style as he is likely to be in wedding photographs with the bride and groom.