Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
Qurʾān Bukhārī Muslim Nasāʾī Abū Dāwūd Tirmidhī Ibn Mājah Mālik Aḥmad Dārimī Ḥākim Ibn Ḥibbān Ṭabarānī Nasāʾī's Kubrá Bayhaqī al-Luʾluʾ wa-al-Marjān Ibn Rajab's Fifty Riyāḍ al-Ṣāliḥīn Aḥmad's Zuhd Suyūṭī
bayhaqi:19992 – ʿAlī b. Aḥmad b. ʿAbdān > Sulaymān b. Aḥmad al-Lakhmī > ʿAlī b. ʿAbd al-ʿAzīz > Abū Nuʿaym > Sufyān > Hishām from his father > ʿĀʾishah

[Machine] In the child born out of wedlock, there is no blame on his parents whatsoever. "No bearer of burdens can bear the burden of another" [Surah Al-An'am verse 164]. There is a separate burden that some of the weak and authentic scholars have placed upon him.  

البيهقي:١٩٩٩٢ – أَخْبَرَنَا عَلِيُّ بْنُ أَحْمَدَ بْنِ عَبْدَانَ أنبأ سُلَيْمَانُ بْنُ أَحْمَدَ اللَّخْمِيُّ ثنا عَلِيُّ بْنُ عَبْدِ الْعَزِيزِ ثنا أَبُو نُعَيْمٍ ثنا سُفْيَانُ عَنْ هِشَامٍ عَنْ أَبِيهِ عَنْ عَائِشَةَ ؓ قَالَتْ

فِي وَلَدِ الزِّنَا لَيْسَ عَلَيْهِ مِنْ وِزْرِ أَبَوَيْهِ شَيْءٌ {لَا تَزِرُ} [الأنعام 164] وَازِرَةٌ وِزْرَ أُخْرَى رَفَعَهُ بَعْضُ الضُّعَفَاءِ وَالصَّحِيحُ مَوْقُوفٌ  

See similar narrations below:

Collected by Ḥākim, Suyūṭī
hakim:7053 – Abū Bakr b. Isḥāq > Muḥammad b. Ghālib > Jaʿfar b. Muḥammad b. Jaʿfar al-Madāʾinī > ʿAbbād b. al-ʿAwwām > Sufyān al-Thawrī > Hishām b. ʿUrwah from his father > ʿĀʾishah > Rasūl

[Machine] The Messenger of Allah ﷺ said, "The child of zina (adultery) bears no responsibility for the sins of its parents." [And no bearer of burdens will bear the burden of another] (Quran, 6:164).  

الحاكم:٧٠٥٣ – أَخْبَرَنَا أَبُو بَكْرِ بْنُ إِسْحَاقَ أَنْبَأَ مُحَمَّدُ بْنُ غَالِبٍ ثَنَا جَعْفَرُ بْنُ مُحَمَّدِ بْنِ جَعْفَرٍ الْمَدَائِنِيُّ ثَنَا عَبَّادُ بْنُ الْعَوَّامِ عَنْ سُفْيَانَ الثَّوْرِيِّ عَنْ هِشَامِ بْنِ عُرْوَةَ عَنْ أَبِيهِ عَنْ عَائِشَةَ قَالَتْ

قَالَ رَسُولُ اللَّهِ ﷺ «لَيْسَ عَلَى وَلَدِ الزِّنَا مِنْ وِزْرِ أَبَوَيْهِ شَيْءٌ» {وَلَا تَزِرُ وَازِرَةٌ وِزْرَ أُخْرَى} [الأنعام 164]  

«هَذَا حَدِيثٌ صَحِيحُ الْإِسْنَادِ وَلَمْ يُخَرِّجَاهُ» وَقَدْ صَحَّ ضِدُّهُ بِإِسْنَادَيْنِ صَحِيحَيْنِ أَمَّا الْإِسْنَادُ الْأَوَّلُ صحيح وصح ضده