He (Bahá’u’lláh) has indicated that under certain circumstances, the parents could be deprived of the right of parenthood as a consequence of their actions. The Universal House of Justice has the right to legislate on this matter. It has decided for the present that all cases should be referred to it in which the conduct or character of a parent appears to render him unworthy of having such parental rights as that of giving consent to marriage. Such questions could arise, for example, when a parent has committed incest, or when the child was conceived as a consequence of rape, and also when a parent consciously fails to protect the child from flagrant sexual abuse.
(The Universal House of Justice, 1992, Violence and Sexual Abuse of Women and Children)
In some cases it is permissible under the law of God either for the parents or for the children to disown the other, to deprive the other of certain rights, to sever family ties and to renounce their responsibilities. However, the law thereof is to be decided by the Universal House of Justice.
(Shoghi Effendi, quoted in a letter of the Universal House of Justice to the National Spiritual Assembly of the United States, 19 Jan, 2010)
Should a father neglect this most weighty commandment laid down in the Kitáb-i-Aqdas by the Pen of the Eternal King, he shall forfeit rights of fatherhood, and be accounted guilty before God. Well is it with him who imprinteth on his heart the admonitions of the Lord, and steadfastly cleaveth unto them. God, in truth, enjoineth on His servants what shall assist and profit them, and enable them to draw nigh unto Him.
(Bahá’u’lláh, The Kitáb-i-Aqdas, p. 138)