When "Glorify the name of your mighty Lord" was revealed, the Messenger of Allah ﷺ said: Use it when bowing, and when "Glorify the name of your most high Lord" was revealed, he said: Use it when prostrating yourself.  

لَمَّا نَزَلَتْ { فَسَبِّحْ بِاسْمِ رَبِّكَ الْعَظِيمِ } قَالَ رَسُولُ اللَّهِ ﷺ اجْعَلُوهَا فِي رُكُوعِكُمْ فَلَمَّا نَزَلَتْ { سَبِّحِ اسْمَ رَبِّكَ الأَعْلَى } قَالَ اجْعَلُوهَا فِي سُجُودِكُمْ  

The above (No 868) tradition has also been reported through a different chain of narrators by Uqbah ibn Amir to the same effect. This version adds: When the Messenger of Allah ﷺ bowed, he said: "Glory and praise be to my mighty Lord" three times, and when he prostrated himself, he said: "Glory and praise be to my most high Lord" three times. Abu Dawud said: We are afraid the addition of the word "praise" is not guarded.  

فَكَانَ رَسُولُ اللَّهِ ﷺ إِذَا رَكَعَ قَالَ سُبْحَانَ رَبِّيَ الْعَظِيمِ وَبِحَمْدِهِ ثَلاَثًا وَإِذَا سَجَدَ قَالَ سُبْحَانَ رَبِّيَ الأَعْلَى وَبِحَمْدِهِ ثَلاَثًا  

Hudhaifah said that he prayed along with the Prophet ﷺ, and that he said when bowing, “Glory be to my mighty Lord, “ and when he prostrated himself, “Glory be to my most high Lord," when he came to a verse which spoke of mercy, he stopped and made supplication, and when he came to a verse which spoke of punishment, he stopped and sought refuge in Allah.  

قُلْتُ لِسُلَيْمَانَ أَدْعُو فِي الصَّلاَةِ إِذَا مَرَرْتُ بِآيَةِ تَخَوُّفٍ فَحَدَّثَنِي عَنْ سَعْدِ بْنِ عُبَيْدَةَ عَنْ مُسْتَوْرِدٍ عَنْ صِلَةَ بْنِ زُفَرَ عَنْ حُذَيْفَةَ أَنَّهُ صَلَّى مَعَ النَّبِيِّ ﷺ فَكَانَ يَقُولُ فِي رُكُوعِهِ سُبْحَانَ رَبِّيَ الْعَظِيمِ وَفِي سُجُودِهِ سُبْحَانَ رَبِّيَ الأَعْلَى وَمَا مَرَّ بِآيَةِ رَحْمَةٍ إِلاَّ وَقَفَ عِنْدَهَا فَسَأَلَ وَلاَ بِآيَةِ عَذَابٍ إِلاَّ وَقَفَ عِنْدَهَا فَتَعَوَّذَ  

‘Aishah said that the prophet ﷺ used to say when bowing and prostrating, “All-Glorious, All-Holy, Lord of the angels and spirit.  

أَنَّ النَّبِيَّ ﷺ كَانَ يَقُولُ فِي رُكُوعِهِ وَسُجُودِهِ سُبُّوحٌ قُدُّوسٌ رَبُّ الْمَلاَئِكَةِ وَالرُّوحِ  

I stood up to pray along with the Messenger of Allah ﷺ; he got up and recited Surat al-Baqarah (Surah 2). When he came to a verse which spoke of mercy, he stopped and made supplication, and when he came to verse which spoke of punishment, he stopped and sought refuge in Allah, then he bowed and paused as long as he stood (reciting Surah al-Baqarah), and said while bowing, "Glory be to the Possessor of greatness, the Kingdom, grandeur and majesty." :Then he prostrated himself and paused as long as he stood up and recited Surat Aal Imran (Surah 3) and then recited many surahs one after another.  

قُمْتُ مَعَ رَسُولِ اللَّهِ ﷺ لَيْلَةً فَقَامَ فَقَرَأَ سُورَةَ الْبَقَرَةِ لاَ يَمُرُّ بِآيَةِ رَحْمَةٍ إِلاَّ وَقَفَ فَسَأَلَ وَلاَ يَمُرُّ بِآيَةِ عَذَابٍ إِلاَّ وَقَفَ فَتَعَوَّذَ قَالَ ثُمَّ رَكَعَ بِقَدْرِ قِيَامِهِ يَقُولُ فِي رُكُوعِهِ سُبْحَانَ ذِي الْجَبَرُوتِ وَالْمَلَكُوتِ وَالْكِبْرِيَاءِ وَالْعَظَمَةِ ثُمَّ سَجَدَ بِقَدْرِ قِيَامِهِ ثُمَّ قَالَ فِي سُجُودِهِ مِثْلَ ذَلِكَ ثُمَّ قَامَ فَقَرَأَ بِآلِ عِمْرَانَ ثُمَّ قَرَأَ سُورَةً سُورَةً  

Hudhayfah saw the Messenger of Allah ﷺ praying at night. He said: Allah is most great" three times, "Possessor of kingdom, grandeur, greatness and majesty." He then began (his prayer) and recited Surah al-Baqarah; then he bowed and he paused in bowing as long as he stood up; he said while bowing, "Glory be to my mighty Lord," "Glory be to my mighty Lord" ; then he raised his head, after bowing: then he stood up and he paused as long as he paused in bowing and said, "Praise be to my Lord" ; then he prostrated and paused in prostration as long as he paused in the standing position; he said while prostrating: "Glory be to my most high Lord"; then he raised his head after prostration, and sat as long as he prostrated, and said while sitting: "O my Lord forgive me." He offered four rak'ahs of prayer and recited in them Surah al-Baqarah, Aal Imran, an-Nisa, al-Ma'idah, or al-An'am. The narrator Shu'bah doubted.  

أَنَّهُ رَأَى رَسُولَ اللَّهِ ﷺ يُصَلِّي مِنَ اللَّيْلِ فَكَانَ يَقُولُ اللَّهُ أَكْبَرُ ثَلاَثًا ذُو الْمَلَكُوتِ وَالْجَبَرُوتِ وَالْكِبْرِيَاءِ وَالْعَظَمَةِ ثُمَّ اسْتَفْتَحَ فَقَرَأَ الْبَقَرَةَ ثُمَّ رَكَعَ فَكَانَ رُكُوعُهُ نَحْوًا مِنْ قِيَامِهِ وَكَانَ يَقُولُ فِي رُكُوعِهِ سُبْحَانَ رَبِّيَ الْعَظِيمِ سُبْحَانَ رَبِّيَ الْعَظِيمِ ثُمَّ رَفَعَ رَأْسَهُ مِنَ الرُّكُوعِ فَكَانَ قِيَامُهُ نَحْوًا مِنْ رُكُوعِهِ يَقُولُ لِرَبِّيَ الْحَمْدُ ثُمَّ سَجَدَ فَكَانَ سُجُودُهُ نَحْوًا مِنْ قِيَامِهِ فَكَانَ يَقُولُ فِي سُجُودِهِ سُبْحَانَ رَبِّيَ الأَعْلَى ثُمَّ رَفَعَ رَأْسَهُ مِنَ السُّجُودِ وَكَانَ يَقْعُدُ فِيمَا بَيْنَ السَّجْدَتَيْنِ نَحْوًا مِنْ سُجُودِهِ وَكَانَ يَقُولُ رَبِّ اغْفِرْ لِي رَبِّ اغْفِرْ لِي فَصَلَّى أَرْبَعَ رَكَعَاتٍ فَقَرَأَ فِيهِنَّ الْبَقَرَةَ وَآلَ عِمْرَانَ وَالنِّسَاءَ وَالْمَائِدَةَ أَوِ الأَنْعَامَ شَكَّ شُعْبَةُ