My sons do not....but careful with the babies that do!!! Since my kids ahve allergies/asthma, they say that snoring during infancy and early childhood can be detrimental to growth and can even be deadly! They are doing so much growing at this stage, that having decreased oxygen can be really bad. Speak to your pediatrician if you have a child that snores a lot to get to the bottom of it. Most likely its something easy :).