كتاب الصلاة
4  
The Book of Prayers
(13)
Chapter: The Proof Of Those Who Say That The Basmalah Should Not Be Recited Aloud
(13)
باب حُجَّةِ مَنْ قَالَ لاَ يَجْهَرُ بِالْبَسْمَلَةِ ‏
Sahih Muslim 399 c

'Abda reported:

'Umar b. al-Khattab used to recite loudly these words: Subhanak Allahumma wa bi hamdika wa tabarakasmuka wa ta'ala jadduka wa la ilaha ghairuka [Glory to Thee,0 Allah, and Thine is the Praise, and Blessed is Thy Name. and Exalted is Thy Majesty. and there is no other object of worship beside Thee]. Qatada informed in writing that Anas b. Malik had narrated to him: I observed prayer behind the Messenger of Allah (ﷺ) and Abu Bakr and Umar and 'Uthman. They started (loud recitation) with: AI-hamdu lillahi Rabb al-'Alamin [All Praise is due to Allah, the Lord of the worlds] and did not recite Bismillah ir- Rahman-ir-Rahim (loudly) at the beginning of the recitation or at the end of it.
حَدَّثَنَا مُحَمَّدُ بْنُ مِهْرَانَ الرَّازِيُّ، حَدَّثَنَا الْوَلِيدُ بْنُ مُسْلِمٍ، حَدَّثَنَا الأَوْزَاعِيُّ، عَنْ عَبْدَةَ، أَنَّ عُمَرَ بْنَ الْخَطَّابِ، كَانَ يَجْهَرُ بِهَؤُلاَءِ الْكَلِمَاتِ يَقُولُ سُبْحَانَكَ اللَّهُمَّ وَبِحَمْدِكَ تَبَارَكَ اسْمُكَ وَتَعَالَى جَدُّكَ وَلاَ إِلَهَ غَيْرُكَ ‏.‏ وَعَنْ قَتَادَةَ أَنَّهُ كَتَبَ إِلَيْهِ يُخْبِرُهُ عَنْ أَنَسِ بْنِ مَالِكٍ أَنَّهُ حَدَّثَهُ قَالَ صَلَّيْتُ خَلْفَ النَّبِيِّ صلى الله عليه وسلم وَأَبِي بَكْرٍ وَعُمَرَ وَعُثْمَانَ فَكَانُوا يَسْتَفْتِحُونَ بِـ ‏{‏ الْحَمْدُ لِلَّهِ رَبِّ الْعَالَمِينَ‏}‏ لاَ يَذْكُرُونَ بِسْمِ اللَّهِ الرَّحْمَنِ الرَّحِيمِ فِي أَوَّلِ قِرَاءَةٍ وَلاَ فِي آخِرِهَا ‏.‏
Reference : Sahih Muslim 399c
In-book reference : Book 4, Hadith 54
USC-MSA web (English) reference : Book 4, Hadith 788
  (deprecated numbering scheme)