Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
bayhaqi:4594[Chain 1] Abū ʿAlī al-Rūdhbārī > Abū Bakr b. Dāsah > Abū Dāwud > Aḥmad b. Ṣāliḥ > Ibn Wahb[Chain 2] Abū Bakr ʿAbdullāh > al-Ḥasan b. Sufyān > Ḥarmalah b. Yaḥyá > Ibn Wahb > Yūnus b. Yazīd > Ibn Shihāb > Sālim b. ʿAbdullāh from his father

[Machine] The Prophet of Allah ﷺ used to recite tasbih on his riding animal before any direction he faced and he used to perform the odd-numbered prayer on it, except that he did not pray on it the obligatory prayer. This is not mentioned in the hadith of Abu Dawood before  

البيهقي:٤٥٩٤أنبأ أَبُو عَلِيٍّ الرُّوذْبَارِيُّ أنبأ أَبُو بَكْرِ بْنُ دَاسَةَ ثنا أَبُو دَاوُدَ ثنا أَحْمَدُ بْنُ صَالِحٍ ثنا ابْنُ وَهْبٍ (ح) وَأنبأ أَبُو عَبْدِ اللهِ الْحَافِظُ أَخْبَرَنَا أَبُو بَكْرٍ عَبْدُ اللهِ أنبأ الْحَسَنُ بْنُ سُفْيَانَ ثنا حَرْمَلَةُ بْنُ يَحْيَى أَنَّ ابْنَ وَهْبٍ أَخْبَرَنِي يُونُسُ بْنُ يَزِيدَ عَنِ ابْنِ شِهَابٍ عَنْ سَالِمِ بْنِ عَبْدِ اللهِ عَنْ أَبِيهِ قَالَ

كَانَ رَسُولُ اللهِ ﷺ يُسَبِّحُ عَلَى الرَّاحِلَةِ قِبَلَ أِيِّ وَجْهٍ تَوَجَّهَ وَيُوتِرُ عَلَيْهَا غَيْرَ أَنَّهُ لَا يُصَلِّي عَلَيْهَا الْمَكْتُوبَةَ لَيْسَ فِي حَدِيثِ أَبِي دَاوُدَ قِبَلَ  

رَوَاهُ مُسْلِمٌ فِي الصَّحِيحِ عَنْ حَرْمَلَةَ وَقَدْ أَخْرَجْتُهُ عَالِيًا فِيمَا مَضَى

See similar narrations below:

Collected by Muslim, Nasāʾī, Nasāʾī's Kubrá, Bayhaqī
muslim:700iḤarmalah b. Yaḥyá > Ibn Wahb > Yūnus > Ibn Shihāb > Sālim b. ʿAbdullāh from his father

Salim b. 'Abdullah reported on the authority of his father that the Messenger of Allah (may peace be. upon him) used to observe Nafl (supererogatory) prayer on his ride no matter in what direction it turned its face, and he observed Witr too on it, but did not observe obligatory prayer on it.  

مسلم:٧٠٠iوَحَدَّثَنِي حَرْمَلَةُ بْنُ يَحْيَى أَخْبَرَنَا ابْنُ وَهْبٍ أَخْبَرَنِي يُونُسُ عَنِ ابْنِ شِهَابٍ عَنْ سَالِمِ بْنِ عَبْدِ اللَّهِ عَنْ أَبِيهِ قَالَ

كَانَ رَسُولُ اللَّهِ ﷺ يُسَبِّحُ عَلَى الرَّاحِلَةِ قِبَلَ أَىِّ وَجْهٍ تَوَجَّهَ وَيُوتِرُ عَلَيْهَا غَيْرَ أَنَّهُ لاَ يُصَلِّي عَلَيْهَا الْمَكْتُوبَةَ  

nasai:490ʿĪsá b. Ḥammād Zughbah And ʾAḥmad b. ʿAmr b. al-Sarḥ Wa-al-Ḥārith b. Miskīn > Ibn Wahb > Yūnus > Ibn Shihāb > Sālim from his father

"The Messenger of Allah ﷺ used to pray voluntary prayers (Usabbih) while riding his mount, facing whatever direction it was facing, and he would pray Witr likewise, but he would not offer the prescribed prayers on it."  

النسائي:٤٩٠أَخْبَرَنَا عِيسَى بْنُ حَمَّادٍ زُغْبَةُ وَأَحْمَدُ بْنُ عَمْرِو بْنِ السَّرْحِ وَالْحَارِثُ بْنُ مِسْكِينٍ قِرَاءَةً عَلَيْهِ وَأَنَا أَسْمَعُ وَاللَّفْظُ لَهُ عَنِ ابْنِ وَهْبٍ عَنْ يُونُسَ عَنِ ابْنِ شِهَابٍ عَنْ سَالِمٍ عَنْ أَبِيهِ قَالَ

كَانَ رَسُولُ اللَّهِ ﷺ يُسَبِّحُ عَلَى الرَّاحِلَةِ قِبَلَ أَىِّ وَجْهٍ تَتَوَجَّهُ وَيُوتِرُ عَلَيْهَا غَيْرَ أَنَّهُ لاَ يُصَلِّي عَلَيْهَا الْمَكْتُوبَةَ  

nasai-kubra:950ʿĪsá b. Ḥammād > Ibn Wahb > Yūnus > Ibn Shihāb > Sālim > ʿAbdullāh

Salim b. 'Abdullah reported on the authority of his father that the Messenger of Allah (may peace be. upon him) used to observe Nafl (supererogatory) prayer on his ride no matter in what direction it turned its face, and he observed Witr too on it, but did not observe obligatory prayer on it. (Using translation from Muslim 700i)  

الكبرى للنسائي:٩٥٠أَخْبَرَنَا عِيسَى بْنُ حَمَّادٍ قَالَ أَخْبَرَنَا ابْنُ وَهْبٍ قَالَ أَخْبَرَنِي يُونُسُ عَنِ ابْنِ شِهَابٍ عَنْ سَالِمٍ عَنْ عَبْدِ اللهِ قَالَ

«كَانَ رَسُولُ اللهِ ﷺ يُسَبِّحُ عَلَى الرَّاحِلَةِ قِبَلَ أَيِّ وَجْهٍ تَوَجَّهُ وَيُوتِرُ عَلَيْهَا غَيْرَ أَنَّهُ لَا يُصَلِّي عَلَيْهَا الْمَكْتُوبَةَ»  

bayhaqi:2218Abū ʿAbdullāh al-Ḥāfiẓ And ʾAbū Bakr b. al-Ḥasan al-Qāḍī Waʾabū Zakariyyā b. Abū Isḥāq al-Muzakkī > Abū al-ʿAbbās Muḥammad b. Yaʿqūb > Baḥr b. Naṣr > Quriʾ > Ibn Wahb Akhbarak Yūnus b. Yazīd > Ibn Shihāb > Sālim b. ʿAbdullāh b. ʿUmar > Abīh ʿAbdullāh b. ʿUmar

[Machine] The Messenger of Allah, may ﷺ , used to perform tasbeeh (glorification of Allah) while riding, in whichever direction he faced, and he would also offer the witr prayer on the mount, except that he would not offer the obligatory prayers on it.  

البيهقي:٢٢١٨أَخْبَرَنَا أَبُو عَبْدِ اللهِ الْحَافِظُ وَأَبُو بَكْرِ بْنُ الْحَسَنِ الْقَاضِي وَأَبُو زَكَرِيَّا بْنُ أَبِي إِسْحَاقَ الْمُزَكِّي قَالُوا ثنا أَبُو الْعَبَّاسِ مُحَمَّدُ بْنُ يَعْقُوبَ ثنا بَحْرُ بْنُ نَصْرٍ قَالَ قُرِئَ عَلَى ابْنِ وَهْبٍ أَخْبَرَكَ يُونُسُ بْنُ يَزِيدَ عَنِ ابْنِ شِهَابٍ عَنْ سَالِمِ بْنِ عَبْدِ اللهِ بْنِ عُمَرَ عَنْ أَبِيهِ عَبْدِ اللهِ بْنِ عُمَرَ قَالَ

كَانَ رَسُولُ اللهِ ﷺ يُسَبِّحُ عَلَى الرَّاحِلَةِ قِبَلَ أَيِّ وَجْهٍ تَوَجَّهَ وَيُوتِرُ عَلَيْهَا غَيْرَ أَنَّهُ لَا يُصَلِّي عَلَيْهَا الْمَكْتُوبَةَ  

رَوَاهُ مُسْلِمٌ فِي الصَّحِيحِ عَنْ حَرْمَلَةَ عَنِ ابْنِ وَهْبٍ وَأَخْرَجَهُ الْبُخَارِيُّ مِنْ حَدِيثِ اللَّيْثِ عَنْ يُونُسَ