It is narrated from Sayyiduna Jabir (may Allah be pleased with him) that a child was born to one of us, so he named him Qasim. The Ansar said: "We will not call you Abu al-Qasim, nor will we cool your eyes (by doing so)." So that man went to the service of the Prophet (peace and blessings be upon him) and told him what the Ansar had said. The Prophet (peace and blessings be upon him) said: "The Ansar have done well. Name after my name, but do not take my kunyah, for I am (truly) al-Qasim."
Hadith Referenceالادب المفرد / كتاب الكنية / 842
Hadith Gradingالألبانی:صحيح
Hadith Takhrij«صحيح : أخرجه البخاري ، كتاب الأدب : 6186 ، 3114 و مسلم : 2133»
It is narrated from Muhammad ibn al-Hanafiyyah (may Allah have mercy on him), he says that permission was granted to Sayyiduna Ali (may Allah be pleased with him) (to keep the name and kunyah of the Prophet ﷺ). He said: O Messenger of Allah! If I have a son after you, may I give him your name and kunyah? The Prophet ﷺ said: "Yes."
Hadith Referenceالادب المفرد / كتاب الكنية / 843
Hadith Gradingالألبانی:صحيح
Hadith Takhrij«صحيح : أخرجه المصنف فى التاريخ الكبير : 182/1 بالإسناد نفسه و أبوداؤد : 4967 و الترمذي : 2843 - انظر الصحيحة : 2946»
It is narrated from Sayyiduna Abu Hurairah (may Allah be pleased with him) that the Messenger of Allah (peace and blessings be upon him) forbade combining his name and his kunyah together, and said: "I am Abu al-Qasim. Allah gives and I distribute."
Hadith Referenceالادب المفرد / كتاب الكنية / 844
Hadith Gradingالألبانی:حسن صحيح
Hadith Takhrij«حسن صحيح : أخرجه الترمذي ، كتاب الأدب : 2141 و أحمد : 423/2 من حديث محمد بن عجلان به وعلقه : 4966»
It is narrated from Sayyiduna Anas (may Allah be pleased with him) that the Prophet (peace and blessings of Allah be upon him) was in the market when a man called out: "O Abu al-Qasim!" The Prophet (peace be upon him) turned towards him, so the man said: "I was calling him," meaning another person. Then the Prophet (peace be upon him) said: "Name yourselves with my name, but do not take my kunyah (Abu al-Qasim) as your kunyah."