Level 1: Physiological development of the two-month-old baby At the age of two months, the baby\’s physiological development has made great progress. They can raise their heads, make fist movements with their hands, become interested in their surroundings and try to observe things around them. At this time, the baby also begins to eat and sleep regularly, and his weight will gradually increase. Level 2: The psychological development of a two-month-old baby. When the baby is two months old, the baby begins to show more liveliness, curiosity, and joy.