A two-month-old baby with cough and runny nose is considered to have symptoms caused by upper respiratory tract infection, and should take some oral medications appropriately, such as compound aminophenol methylmethane oral solution or pediatric aminophenol xanthamine granules. Be sure to feed the baby more water, keep the proper humidity in the room and keep the air circulating. If you have other complications, you should treat them together. If you have fever, you should reduce the fever symptomatically. If the body temperature does not exceed 38.5℃, you can apply physical cooling, using warm towels to wipe the forehead, neck, palms, feet, armpits, groin and other parts of the body. Upper respiratory tract infection can be complicated by bacterial infection, and some antibiotics should be applied appropriately.