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
tirmidhi:2722 – Bidhalik al-Ḥasan b. ʿAlī al-Khalāal > Abū Usāmah > Abū Ghifār al-Muthanná b. Saʿīd al-Ṭāʾī > Abū Tamīmah al-Hujaymī > Jābir b. Sulaym

from Abu Tamimah al-Hujaimi from Jabir bin Sulaim who said: "I went to the Prophet ﷺ and I said: ''Alaikas-Salam (upon you be peace)' so he replied: 'Do not say "'Alaikas-Salam" rather say As-Salamu Alaik.'" And he mentioned the story in its entirety.  

الترمذي:٢٧٢٢ – حَدَّثَنَا بِذَلِكَ الْحَسَنُ بْنُ عَلِيٍّ الْخَلاَّلُ حَدَّثَنَا أَبُو أُسَامَةَ عَنْ أَبِي غِفَارٍ الْمُثَنَّى بْنِ سَعِيدٍ الطَّائِيِّ عَنْ أَبِي تَمِيمَةَ الْهُجَيْمِيِّ عَنْ جَابِرِ بْنِ سُلَيْمٍ قَالَ

أَتَيْتُ النَّبِيَّ ﷺ فَقُلْتُ عَلَيْكَ السَّلاَمُ فَقَالَ لاَ تَقُلْ عَلَيْكَ السَّلاَمُ وَلَكِنْ قُلِ السَّلاَمُ عَلَيْكَ وَذَكَرَ قِصَّةً طَوِيلَةً وَهَذَا حَدِيثٌ حَسَنٌ صَحِيحٌ  

See similar narrations below:

Collected by Abū Dāwūd
abudawud:5209 – Abū Bakr b. Abū Shaybah > Abū Khālid al-Aḥmar > Abū Ghifār > Abū Tamīmah al-Hujaymī > Abū Jura al-Hujaymī

I came to the Prophet ﷺ and said: Upon you be peace, Messenger of Allah! He said: Do not say: Upon you be peace, for "Upon you be peace" is the salutation to the dead.  

أبو داود:٥٢٠٩ – حَدَّثَنَا أَبُو بَكْرِ بْنُ أَبِي شَيْبَةَ حَدَّثَنَا أَبُو خَالِدٍ الأَحْمَرُ عَنْ أَبِي غِفَارٍ عَنْ أَبِي تَمِيمَةَ الْهُجَيْمِيِّ عَنْ أَبِي جُرَىٍّ الْهُجَيْمِيِّ قَالَ

أَتَيْتُ النَّبِيَّ ﷺ فَقُلْتُ عَلَيْكَ السَّلاَمُ يَا رَسُولَ اللَّهِ قَالَ لاَ تَقُلْ عَلَيْكَ السَّلاَمُ فَإِنَّ عَلَيْكَ السَّلاَمُ تَحِيَّةُ الْمَوْتَى