It is narrated from Sayyiduna Ali (may Allah be pleased with him) that the Noble Prophet (peace and blessings be upon him and his family) loved Surah Al-A'la.
Hadith Referenceالفتح الربانی / تفسير من سورة الأعلى إلى سورة الناس / 8825
It is narrated from Sayyiduna Abdullah bin Abbas (may Allah be pleased with them both) that when the Noble Prophet (peace and blessings be upon him) recited {سَبِّحِاسْمَرَبِّکَالْاَعْلٰی}, he would say: Subhana Rabbiya al-A'la.
Hadith Referenceالفتح الربانی / تفسير من سورة الأعلى إلى سورة الناس / 8826
Hadith Gradingمحدثین:صحيح
Hadith Takhrij«صحيح، قاله الالباني ۔ أخرجه ابوداود: 883، (انظر مسند أحمد ترقيم الرسالة: 2066 ترقیم بيت الأفكار الدولية: 2066»
It is narrated from Sayyiduna Uqbah bin Amir (may Allah be pleased with him) that when this verse was revealed: {فَسَبِّحْبِاسْمِرَبِّکَالْعَظِیْمِ} … "Glorify the name of your Lord, the Most Great," the Noble Prophet (peace and blessings be upon him) commanded us to adopt its meaning for our bowing (ruku‘). And when this verse was revealed: {سَبِّحِاسْمَرَبِّکَالْاَعْلٰی} … "Glorify the name of your Lord, the Most High," he (peace and blessings be upon him) said: Adopt its meaning for your prostrations (sajdah).
Hadith Referenceالفتح الربانی / تفسير من سورة الأعلى إلى سورة الناس / 8827