Yes, they do. But the good news is they shed a VERY LITTLE amount of hair. Their little to no shedding tendency makes them a great fit for dog enthusiasts who suffer from allergies. Bichon Frise has an amazing coat. In addition, their upper coat with curly hair traps the hair the undercoat sheds. So, you can keep calm so that you won't have to keep vacuuming your carpets all day long.