Jabir bin Abdullah (may Allah be pleased with them both) said: A boy was born to a man among us, and he gave him the same name as the Prophet (peace and blessings be upon him). The Companions said: We will not let him take the kunyah until we ask the Prophet (peace and blessings be upon him). He (peace and blessings be upon him) said: "Name yourselves with my name, but do not take a kunyah like my kunyah."
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الضحايا / 19323