Qunoot

بِسۡمِ ٱللَّهِ ٱلرَّحۡمَٰنِ ٱلرَّحِيمِ
In the Name of Allah, the Most Merciful, the Bestower of Mercy

Qunoot: carries several meanings, e.g. humility, devotion. What is meant here is the special supplication while standing during prayer.
There are 2 types of Qunoot
1.) Normal Qunoot Done in the Witr Prayer
2.) Qunooth Naadhila done in times of difficulty

For the Qunooth in times of difficulty  there are various Hadith in Sahih Bukari and Sahih Muslim that Prophet (sallallahu Alihiwasallam) used to supplicate in last part of  Fajr and Magrib prayers.

Qunoot in Witr

عَلَّمَنِي رَسُولُ اللَّهِ صَلَّى اللَّهُ عَلَيْهِ وَسَلَّمَ كَلِمَاتٍ أَقُولُهُنَّ فِي الْوِتْرِ اللَّهُمَّ اهْدِنِي فِيمَنْ هَدَيْتَ وَعَافِنِي فِيمَنْ عَافَيْتَ وَتَوَلَّنِي فِيمَنْ تَوَلَّيْتَ وَبَارِكْ لِي فِيمَا أَعْطَيْتَ وَقِنِي شَرَّ مَا قَضَيْتَ فَإِنَّكَ تَقْضِي وَلَا يُقْضَى عَلَيْكَ وَإِنَّهُ لَا يَذِلُّ مَنْ وَالَيْتَ تَبَارَكْتَ رَبَّنَا وَتَعَالَيْتَ
Abu Hawra reported that Sayyidina Hasan ibn Ali said, “Allah’s Messenger taught me some expressions that I might recite them in witr?’:
(O Allah! Guide me among those whom You have guided, and preserve me among those whom You have preserved. And take me as a friend among those whom You have befriended, and bless me in that which You have bestowed

(upon me). And protect me against the evil that You have ordained, for, indeed, You are the One who ordains and none can otdain against You. And, indeed, never is he disgraced whom You take for a friend. Blessed are You, 0 our

Lord! Andexalted are You!).

Jami Tirmidhi :463 Classified Sahih by Nasirudeen Albani Rahimullah
Abu Dawud 1425 Classified Sahih by Nasirudeen Albani Rahimullah ,See Sifat as-Salaat (pg.95 and 96 of the 7th Edition).
Also Found in Ahmed: 1718, , Nasaee: 1744, Ibn Majah: 1178

How to Perform Qunooth in Witr ?  Extracts from Prophet's Prayer by  Sheik Almani Rahimahullah
He(sallallahu Alihiwasallam)  would supplicate loudly" [238], "raise his hands" [239], and "those behind him would say: aameen" [240].
[238] Ibid.
[239] Ahmad and at-Tabaraanee with a saheeh sanad. To raise the hands in qunoot is the madhhab of Ahmad and also Ishaaq bin Raahawayh, cf. Marwazee's Masaa.il (p. 23).
[240] Abu Daawood and Siraaj ; al-Haakim declared it saheeh, and adh-Dhahabee and others agreed.


The Excellence Of Qunut In All The Prayers When Any Calamity Befalls The Muslims
(54)  باب اسْتِحْبَابِ الْقُنُوتِ فِي جَمِيعِ الصَّلاَةِ إِذَا نزَلَتْ بِالْمُسْلِمِينَ نَازِلَةٌ

حَدَّثَنِي أَبُو الطَّاهِرِ، وَحَرْمَلَةُ بْنُ يَحْيَى، قَالاَ أَخْبَرَنَا ابْنُ وَهْبٍ، أَخْبَرَنِي يُونُسُ بْنُ يَزِيدَ، عَنِ ابْنِ شِهَابٍ، قَالَ أَخْبَرَنِي سَعِيدُ بْنُ الْمُسَيَّبِ، وَأَبُو سَلَمَةَ بْنُ عَبْدِ الرَّحْمَنِ بْنِ عَوْفٍ أَنَّهُمَا سَمِعَا أَبَا هُرَيْرَةَ، يَقُولُ كَانَ رَسُولُ اللَّهِ صلى الله عليه وسلم يَقُولُ حِينَ يَفْرُغُ مِنْ صَلاَةِ الْفَجْرِ مِنَ الْقِرَاءَةِ وَيُكَبِّرُ وَيَرْفَعُ رَأْسَهُ ‏"‏ سَمِعَ اللَّهُ لِمَنْ حَمِدَهُ رَبَّنَا وَلَكَ الْحَمْدُ ‏"‏ ‏.‏ ثُمَّ يَقُولُ وَهُوَ قَائِمٌ ‏"‏ اللَّهُمَّ أَنْجِ الْوَلِيدَ بْنَ الْوَلِيدِ وَسَلَمَةَ بْنَ هِشَامٍ وَعَيَّاشَ بْنَ أَبِي رَبِيعَةَ وَالْمُسْتَضْعَفِينَ مِنَ الْمُؤْمِنِينَ اللَّهُمَّ اشْدُدْ وَطْأَتَكَ عَلَى مُضَرَ وَاجْعَلْهَا عَلَيْهِمْ كَسِنِي يُوسُفَ اللَّهُمَّ الْعَنْ لِحْيَانَ وَرِعْلاً وَذَكْوَانَ وَعُصَيَّةَ عَصَتِ اللَّهَ وَرَسُولَهُ ‏"‏ ‏.‏ ثُمَّ بَلَغَنَا أَنَّهُ تَرَكَ ذَلِكَ لَمَّا أُنْزِلَ ‏{‏ لَيْسَ لَكَ مِنَ الأَمْرِ شَىْءٌ أَوْ يَتُوبَ عَلَيْهِمْ أَوْ يُعَذِّبَهُمْ فَإِنَّهُمْ ظَالِمُونَ‏}‏

Abu Salama b. Abd al-Rahman b. 'Auf heard Abu Huraira say:
(When) Allah's Messenger () (wished to invoke curse or blessing on someone, he would do so at the end) of the recitation in the dawn prayer, when he had pronounced Allah-o-Akbar (for bending) and then lifted his head (saying):" Allah listened to him who praised Him; our Lord! to Thee is all praise" ; he would then stand up and say:" Rescue al-Walid b. Walid, Salama b. Hisham, and 'Ayyash b. Abd Rabi'a, and the helpless among the Muslims. O Allah! trample severely Mudar and cause them a famine (which broke out at the time) of Joseph. O Allah! curse Lihyan, Ri'l, Dhakwan, 'Usayya, for they disobeyed Allah and His Messenger." (The narrator then adds): The news reached us that he abandoned (this) when this verse was revealed:" Not for you (O Muhammad SAW, but for Allah) is the decision; whether He turns in mercy to (pardons) them or punishes them; verily, they are the Zalimun (polytheists, disobedients, and wrong-doers, etc.). " (3:128) http://sunnah.com/muslim/5/376
http://sunnah.com/urn/42380
Tafsir Ibn Kathir:
http://www.qtafsir.com/index.php?option=com_content&task=view&id=494&Itemid=46#e


http://www.youtube.com/watch?v=gm6gmBNAYRg
http://islamqa.info/en/ref/14093
http://islamqa.info/en/ref/20031 

If Imam says Qunooth say Aameen behind him.

https://islamqa.info/en/answers/112016/if-the-imam-says-qunoot-in-fajr-prayer-silently-should-he-say-qunoot-or-remain-silent

https://abdurrahmanorg.files.wordpress.com/2014/08/fatwa-alifta-salah-2161.pdf

https://thealbaanisite.com/2012/04/02/praying-behind-the-people-of-innovation-8-following-the-imaam-if-he-is-mistaken/