Ruling on giving zakaah to a nursing infant who is not yet eating solid food
Question

                If a person is bringing up a child who is still at the age of breastfeeding, is it permissible for him to accept zakaah?.
Praise be to Allah.
      It is not stipulated that the one who is entitled to 
      receive zakaah should be an adult of sound mind or should be eating solid 
      food; rather the condition for being eligible to receive zakaah is what is 
      mentioned in the Qur’aan of being poor or needy. Allah says 
      (interpretation of the meaning):
“As-Sadaqaat (here it 
    means Zakaah) are only for the Fuqaraa’ (poor), and Al‑Masaakeen (the poor) 
    …”
[al-Tawbah 9:60].

    Based on that, if this nursing infant has no wealth or has no 
    one to spend on him and cover his needs, it is permissible for him to be 
    given zakaah, which may then be spent on hiring someone to breastfeed him or 
    on what he needs of clothing or medical treatment and so on. 

    Ibn Qudaamah (may Allah have mercy on him) said: It is 
    permissible to give zakaah to both old and young, whether he eats solid food 
    or not. Ahmad said: It is permissible to give zakaah in order to pay the fee 
    for breastfeeding a foundling, who comes under the heading of the poor. And 
    it was narrated from him that it is not permissible to give it to anyone but 
    one who is eating solid food, but the former view is more correct, because 
    he [the infant] is poor, so it is permissible to give it to him just as in 
    the case of one who is eating solid food, and because he needs zakaah to pay 
    for someone to breastfeed him, clothe him and meet all his other needs. So 
    he comes under the general meaning of the texts.

    End quote from al-Mughni, 2/268 

    But if there is someone who can take care of his needs, then 
    it is not permissible to give zakaah to him, because he is no longer in need 
    because of their support. It says in the commentary on Qalyoobi wa 
    ‘Umayrah (4/28): The one who is sponsored by a relative or a spouse is 
    not poor, according to the more correct opinion, because he is not in need; 
    this is like the one who can earn every day enough to suffice him. End 
    quote. 

    The majority of scholars (may Allah have mercy on him) said 
    it is permissible to give kafaarah (charity given in expiation) to a nursing 
    infant, as is explained in the answer to question no.
    66886. 

    And Allah knows best.