It is narrated from Sayyiduna Anas (may Allah be pleased with him) that the Messenger of Allah (peace and blessings be upon him) said: “«السلام» is one of the names of Allah Almighty, which Allah has placed on the earth, so make salam common among yourselves.”
Hadith Referenceالادب المفرد / كتاب السلام / 989
Hadith Gradingالألبانی:حسن
Hadith Takhrij«حسن : المعجم الكبير للطبراني : 182/10 عن ابن مسعود»
It is narrated from Sayyiduna Ibn Mas'ud (may Allah be pleased with him), he said that they used to pray behind the Prophet (peace and blessings of Allah be upon him), when a man said: «السلام على اللہ» "Peace be upon Allah." When the Prophet (peace and blessings of Allah be upon him) finished the prayer, he said: Who said, "Peace be upon Allah"? Allah Himself is Peace. Rather, you should say: «التَّحِيَّاتُلِلَّهِوَالصَّلَوَاتُوَالطَّيِّبَاتُ،السَّلَامُعَلَيْكَأَيُّهَاالنَّبِيُّوَرَحْمَةُاللَّهِوَبَرَكَاتُهُ،السَّلَامُعَلَيْنَاوَعَلَىعِبَادِاللَّهِالصَّالِحِينَ،أَشْهَدُأَنْلَاإِلَٰهَإِلَّااللَّهُ،وَأَشْهَدُأَنَّمُحَمَّدًاعَبْدُهُوَرَسُولُهُ» All verbal, physical, and financial acts of worship are for Allah alone. O Prophet, peace be upon you, and the mercy of Allah and His blessings. Peace be upon us and upon the righteous servants of Allah. I bear witness that there is no god but Allah. And I bear witness that Muhammad (peace and blessings of Allah be upon him) is His servant and His Messenger. Then he said: The Companions used to learn it in this way as one of you learns a surah from the Qur'an.
Hadith Referenceالادب المفرد / كتاب السلام / 990
Hadith Gradingالألبانی:صحيح
Hadith Takhrij«صحيح : سنن ابن ماجه ، الصلاة ، ح : 899»