Many people ask the same question, do eyeballs grow? Well the answer is no they don't grow. Your eyeballs stay the same size through out your entire life. Your eyes and head at birth is larger than the rest of your body. Your body will grow in to your size of head and then your head will grow because of the sutures on your skull. You head only grows one point five it size before the age of five.
. If your eyes do grow it is only my millimeters and will stop before the age of five. So your head and your eyes are usually almost fully grown by the age of five.