Small bumps on the face of a 1 year old baby could be baby acne. The occurrence of infantile acne is caused by a variety of factors, including improper breastfeeding or artificial feeding, poor sleep for the baby, a cold or other factors that lead to a decrease in immune function. In addition, bumps may also be caused by atopic dermatitis or papular urticaria, both of which are often triggered by allergic factors. The allergens are mostly related to the baby’s diet, or the baby’s living environment, and can be properly washed externally on the face with pediatric skin care lotion mixed with cold boiling water.