NBC New York reports that authorities say the stabbings happened just before 4 a.m. Friday. One of the infants, a girl, is in serious condition, but none of the injuries is considered life-threatening.
A sixth person was found in the basement of the day care center in the Flushing neighborhood. Police say she had slashed her left wrist and is in custody at a hospital.
Police say a man who was injured was stabbed in the leg and is the father of a child who was at the day care center. It isn't clear whether his child was among those stabbed. Another adult who was hurt is a woman who works at the center.
A motive for the stabbings hasn't been determined.