What really is Infant Massage? It’s massage therapy specifically for infants. Massage Therapists can do this and get a certification in it. Neonatal nurses have been doing this for years to help premature babies increase their chance of life. But in recent times many parents have started learning the techniques of Infant Massage to not only help their children, but to reap the benefits for parents. Infant Massage provides many benefits for the infant and for the parents themselves.