There are many Qur’anic verses stating that man is responsible for his own sins, and that he is the only one that bears such a responsibility as long as he is free, sane, and mature. This does not mean that parents are free from responsibility; as long as parents still care about their children, parents are obliged to edify and rectify them and bring them up according to the teachings of Islam.
The late prominent Muslim scholar Sheikh Ahmad Ash-Sharabasi, professor of `Aqeedah and Philosophy at Al-Azhar University, stated: Almighty Allah is the Most Just of Judges, and He never approves of the oppression of any of His servants. Therefore, Allah has made every person responsible and accountable for his/her own deeds as long as he/she is free, sane, and mature. This is clearly stated in many Qur’anic verses: (And guard yourselves against a day when no soul will naught avail another) (Al-Baqarah 2: 123); (Each soul earneth only on its own account) (Al-An`am 6: 164); (On the Day when every soul will come pleading for itself) (An-Nahl 16: 111); (Every soul is a pledge for its own deeds) (Al-Muddaththir 74: 38); (A day on which no soul hath power at all for any (other) soul) (Al-Infitar 82: 19); (On the day when a man fleeth from his brother; and his mother and his father; and his wife and his children. Every man that day will have concern enough to make him heedless (of others)) (`Abasa 80: 34-37).

Furthermore, the Prophet (peace and blessings be upon him) used to say to his relatives “O household of Muhammad! I do not want that people come to me (on the Day of Judgment) depending on (good) deeds and you come to me depending on kinship (with me). Be keen to do good deeds, for I can by no means save you from Allah (if you disobey Him).” The Prophet also used to say to his daughter Fatimah “O Fatimah! Work (good deeds), for I can by no means save you from Allah (if you disobey Him).”
This does not contradict the parents’ duty to guide, edify, and rectify their children and doing their best to safeguard them against deviation. If the parents fail to fulfill such a duty out of negligence, they are deemed guilty and accountable for the misconduct of their children as long as they are still in their custody and in need of their care. Likewise, if there is an evil family member whom the family can rectify yet they do not, the family is deemed negligent and accountable for the deviation and wrongdoing of such a member. Almighty Allah says: (By the declining day! Lo! man is in a state of loss. Save those who believe and do good works, and exhort one another to truth and exhort one another to endurance) (Al-`Asr 103: 1-3). Exhorting one another means exchanging advice so that guidance prevail among them all. Since this is the duty of the whole Muslim nation toward one another, then, with greater reason, it is the duty of relatives and family members toward one another. Almighty Allah says: (But help ye one another unto righteousness and pious duty. Help not one another unto sin and transgression, but keep your duty to Allah. Lo! Allah is Severe in Punishment) (Al-Ma’idah 5: 2). Helping one another in righteousness and piety is the duty of all the believers toward one another. Thus, it is more obligatory and called for among relatives and members of the same family.
In addition to the above, the Prophet (peace and blessings be upon him) said: “Whoever among you sees something wrong being committed, let him change it with his hand; and if he cannot, then with his tongue; and if he cannot, then with his heart, and this is the slightest degree of faith.” Perhaps a family man should be the first to follow such a Prophetic guidance while rectifying his children and family members as much as he can, as Almighty Allah says: (Allah tasketh not a soul beyond its scope) (Al-Baqarah 2: 286).