It is in general healthy for your baby to eat cherry.
First, cherry is very nutritious. It contains many vitamins and minerals such as vitamin A, iron, potassium, mangesium which are good for the healthy development of the baby. But you should monitor your baby's reaction after you introduce this fruit to him or her. Cherry is one of the gassy fruit which can cause colic or discomfort in the stomach in the newborns whose digestive system is still very weak.