Sayyiduna Ibn Abbas (may Allah be pleased with them both) narrates that the Messenger of Allah (peace be upon him) would often recite this verse (till the end) in the two (Sunnah) rak‘ahs of Fajr: «‏‏‏‏قُولُوا آمَنَّا بِاللَّهِ وَمَا أُنزِلَ إِلَيْنَا وَمَا أُنزِلَ إِلَىٰ إِبْرَاهِيمَ» ‏‏‏‏ "Say, 'We believe in Allah and in what has been sent down to us and what was sent down to Ibrahim...'" till the end of the verse [ سوره البقرۃ: 136 ] and in the second rak‘ah he would recite this verse «‏‏‏‏قُلْ يَا أَهْلَ الْكِتَابِ تَعَالَوْا إِلَىٰ كَلِمَةٍ سَوَاءٍ بَيْنَنَا وَبَيْنَكُمْ۔۔۔ اشْهَدُوا بِأَنَّا مُسْلِمُونَ» ‏‏‏‏ [ سورة آل عمران: 64 ] "Say, 'O People of the Book, come to a word that is equitable between us and you...'" till "bear witness that indeed we are Muslims (submitting to Allah)."

It is narrated from Sayyiduna Qais bin Amr (may Allah be pleased with him) that he performed the morning prayer with the Messenger of Allah (peace and blessings of Allah be upon him) while he had not performed the two Sunnah of Fajr. Then, when the Messenger of Allah (peace and blessings of Allah be upon him) finished the prayer with salam, he stood up and performed the two Sunnah of Fajr while the Messenger of Allah (peace and blessings of Allah be upon him) was looking at him, but he (peace and blessings of Allah be upon him) did not stop him from doing so. It is narrated from the grandfather of Janab Sa’d, Sayyiduna Qais (may Allah be pleased with him), that he performed the morning prayer with the Noble Prophet (peace and blessings of Allah be upon him), then he stood up to perform two rak’ahs (Sunnah). So the Prophet (peace and blessings of Allah be upon him) asked:“Which two rak’ahs are these?”He replied,“O Messenger of Allah, these are the two Sunnah of Fajr, I was not able to perform them, so these are those two rak’ahs.”Thus, the Noble Prophet (peace and blessings of Allah be upon him) remained silent.

It is narrated from Sayyiduna Abu Hurairah (may Allah be pleased with him) that the Prophet Muhammad (peace and blessings be upon him) said: "Whoever forgets the two Sunnah (rak‘ahs) of Fajr prayer should offer them after the sun has risen."

When the one praying misses performing them due to sleep or remains asleep, and wakes up after the sun has risen.

Sayyiduna Abu Hurairah (may Allah be pleased with him) narrates that we camped for rest with the Messenger of Allah (peace and blessings be upon him) in the last part of the night, then we only woke up after the sun had risen. So the Messenger of Allah (peace and blessings be upon him) said: "Everyone, take hold of your mount's reins (and move from here), for Satan has come to us at this place (and our prayer has been missed)." Thus, we complied with the order. (After moving a little ahead) the Prophet (peace and blessings be upon him) asked for water, performed ablution, then after the call to prayer, offered two units of Sunnah, and led the Fajr prayer.

Sayyiduna Ibn Abbas (may Allah be pleased with them both) narrates that Sayyiduna Abbas (may Allah be pleased with him) sent me to the Messenger of Allah (peace and blessings be upon him), so I went to him in the evening while he (peace and blessings be upon him) was staying at the house of my maternal aunt, Sayyida Maymunah bint Harith (may Allah be pleased with her). So (at night) the Messenger of Allah (peace and blessings be upon him) stood up and performed the Tahajjud prayer. Then, when he (peace and blessings be upon him) had performed the two Sunnah of Fajr, he supplicated with this dua: «‏‏‏‏اللَّهُمَّ إِنِّي أَسْأَلُكَ رَحْمَةً مِنْ عِنْدِكَ تَهْدِي بِهَا قَلْبِي، وَتَجْمَعُ بِهَا شَمْلِیْ، وَتَلُمُّ بِهَا شَعَثِي، وَتَرُدُّ بِهَا الْغَیِّ، وَتُصْلِحُ بِهَا دِیْنِیْ، وَتَحْفَظُ بِهَا غَائِبِي، وَتَرْفَعُ بِهَا شَاهِدِي، وَتُزَكِّي بِهَا عَمَلِي، وَتَبْیَضُّ بِھَا وَجْھِیْ، وَتُلْهِمُنِي بِهَا رُشَدِي، وَتَعْصِمُنِي بِهَا مِنْ كُلِّ سُوءٍ، اللَّهُمَّ أَعْطِنِي إِيمَانًا صَادِقاً، وَيَقِينًا لَيْسَ بَعْدَهُ كُفْرٌ، وَرَحْمَةً أَنَالُ بِهَا شَرَفَ كَرَامَتِكَ فِي الدُّنْيَا وَالآخِرَةِ۔ اللَّهُمَّ إِنِّي أَسْأَلُكَ الْفَوْزَ فِي الْقَضَاءِ، وَنُزُلَ الشُّهَدَاءِ، وَعَيْشَ السُّعَدَاءِ، وَمَرَافَقَةَ الْأنْبِيَاءِ، وَالنَّصْرَ عَلَى الأَعْدَاءِ۔ اللَّهُمَّ إِنِّي أُنْزِلُ بِكَ حَاجَتِي وَإِنْ قَصُرَ رَأْيِي، وَضَعُفَ عَمَلِي، وَافْتَقَرْتُ إِلَى رَحْمَتِكَ، فَأَسْأَلُكَ يَا قَاضِيَ الأُمُورِ وَيَا شَافِيَ الصُّدُورِ كَمَا تُجِيرُ بَيْنَ الْبُحُورِ أَنْ تُجِيرَنِي مِنْ عَذَابِ السَّعِيرِ، وَمِنْ دَعْوَةِ الثُّبُورِ، وَمِنْ فِتْنَةِ الْقُبُورِ۔ اللَّهُمَّ مَا قَصُرَ عَنْهُ رَأْيِي، وَضَعُفَ عَنْهُ عَمَلِيْ، وَلَمْ تَبْلُغْهُ نِيَّتِي مِنْ خَيْرٍ وَعَدْتَّهُ أَحَدًا مِنْ عِبَادِكَ، أَوْ خَيْرٍ أَنْتَ مُعْطِيهِ أَحَدًا مِنْ خَلْقِكَ، فَإِنِّي أَرْغَبُ إِلَيْكَ فِيهِ، وَأَسْأَلُكَ یَا رَبَّ الْعَالَمِينَ۔ اللَّهُمَّ اجْعَلْنَا هُدَاۃً مُهْتَدِينَ، غَيْرَ ضَالِّينَ وَلاَ مُضِلِّينَ، وَحَرْباً لِأَعْدَائِكَ، سَلَمًا لِأَوْلِيَائِكَ، نُحِبُّ بِحُبِّكَ النَّاسَ، وَنُعَادِي بِعَدَاوَتِكَ مَنْ خَالَفَكَ۔ اللَّهُمَّ هَذَا الدُّعَاءُ، وَعَلَيْكَ الاِسْتِجَابَةُ، أَوِالْإِجَابَةُ، شَكَّ ابْنُ خَلْفٍ، وهٰذَا الْجَهْدُ، وَعَلَيْكَ التُّكْلَانُ، وَلَا حَوْلَ وَلَا قُوَّةَ إِلَّا بِاللَٰهِ۔ اللَّهُمَّ ذَا الْحَبْلِ الشَّدِيدِۃِ وَالأَمْرِ الرَّشِيدِ، أَسْأَلُكَ الأَمْنَ يَوْمَ الْوَعِيدِ، وَالْجَنَّةَ يَوْمَ الْخُلُودِ، مَعَ الْمُقَرَّبِينَ الشُّهُودِ، الرُّكَّعِ السُّجُودِ الْمُوفِينَ بِالْعُهُودِ، إِنَّكَ رَحِيمٌ وَدُودٌ، وَأَنْتَ تَفْعَلُ مَا تُرِيدُ، سُبْحـانَ الَّذِي تُعْطِفُ الْعِزَّ وَقَالَ بِهٖ، سُبْحـانَ الَّذِي لَبِسَ الْمَجْدَ وَتَكَرَّمَ بِهٖ، سُبْحـانَ الَّذِي لاَ يَنْبَغِي التَّسْبِيْحُ إِلَّا لَهُ، سُبْحـانَ الَّذِي أَحْصٰی کُلَّ شَیْءٍ فَعَلَّمَهُ، سُبْحـانَ ذِی الْفَضْلِ وَالنَّعَمِ، سُبْحـانَ ذِی الْقُدْرَةِ وَالْكَرَمِ۔ اَللّٰھُمَّ اجْعَلْ لِیْ نُوْرًا فِیْ قَلْبِیْ، وَ نُوْرًا فِیْ قَبْرِیْ، وَ نُوْرًا فِیْ سَمْعِیْ، وَ نُوْرًا فِیْ بَصَرِیْ، وَ نُوْرًا فِیْ شَعْرِیْ، وَ نُوْرًا فِیْ بَشَرِیْ، وَ نُوْرًا فِیْ لَحْمِیْ، وَ نُوْرًا فِیْ دَمِیْ، وَ نُوْرًا فِیْ عِظَامِیْ، وَ نُوْرًا مِنْ بَیْنَ یَدَیَّ، وَ نُوْرًا مِنْ خَلْفِیْ، وَ نُوْرًا عَنْ یَمِیْنِیْ، وَ نُوْرًا عَنْ شِمَالِیْ، وَ نُوْرًا مِنْ فَوْقِیْ، وَ نُوْرًا مِنْ تَحْتِیْ، اَللّٰھُمَّ زِدْنِیْ نُوْرًا، وَ أَعْطِنِیْ نُوْرًا، وَ اجْعَلْ لِّیْ نُوْرًا.» ‏‏‏‏“O Allah, I ask You for Your tremendous mercy, by which You guide my heart, gather my scattered affairs, unite my disordered matters, straighten my deviation, rectify my religion, protect my inner deeds, elevate my outward deeds, purify my actions, illuminate my face, and grant me success in righteous deeds (that earn Your pleasure). Protect me from every evil through it. O Allah, grant me true faith and such great certainty after which there is no disbelief, and bestow upon me such a great mercy by which I attain honor and status in this world and the Hereafter. O Allah, I ask You for success at the time of judgment, the rank and status of the martyrs, the life of the fortunate, the companionship of the noble Prophets, and dominance and help over my enemies. O Allah, I present my needs before You, even though my intellect is deficient and my actions are weak and feeble. I am in need of Your mercy, so I ask only from You. O Decider of affairs, O Healer of hearts (from diseases like ostentation), just as You prevent the seas from merging with each other, grant me protection from the punishment of Hellfire. Protect me from praying for destruction, and save me from the trial of the grave. O Allah, whatever good my intellect could not reach, my actions were too weak for, and my intention and resolve could not attain, and You have promised to grant it to any of Your servants, or any good that You are to bestow upon any of Your creation, I too desire and long for it, and I ask You for it, O Lord of the worlds. O Allah, make us rightly guided, guides for others, not astray nor leading others astray. Make us a source of war for Your enemies and a source of peace and safety for Your friends. Let us love people for Your love, and have enmity with Your enemies due to Your enmity. O Allah, this is my supplication, so accept and approve it. This is my striving, and upon You is my reliance. And there is no power to do good or strength to avoid evil except with Allah’s help and support. O Allah, Possessor of the firm rope (religion) and the straight and correct matter, I ask You for safety on the Day of Punishment, and Paradise on the Day of Eternity, with those who are close to their Lord, those who bow and prostrate frequently, and those who fulfill their promises. Indeed, You are Most Merciful and Loving, and You do whatever You will. Glorified is the One who has wrapped Himself in the robe of honor and made it exclusive for Himself. Glorified is the One who has donned the garment of greatness and majesty and is honored by it. Glorified is the One for whom no one else is worthy of glorification. Glorified is the One who has counted everything and knows it. Glorified is the One full of bounty and favor. Glorified is the One full of power and generosity. O Allah, place light in my heart, light in my grave, light in my ears, light in my eyes, light in my hair, light in my skin, light in my flesh, light in my blood, light in my bones, light before me, light behind me, light on my right, light on my left, light above me, and light beneath me. O Allah, increase my light, grant me light, and create for me light upon light.”

Sayyiduna Abu Hurairah (may Allah be pleased with him) narrates that the Messenger of Allah (peace and blessings be upon him) said: "When any one of you has performed the two Sunnah (units) of Fajr, he should lie down on his right side." So Marwan bin Hakam said to Sayyiduna Abu Hurairah (may Allah be pleased with him): "Is it not sufficient for any one of us to walk towards the mosque until he lies down (after offering the Sunnah)?" This statement reached Sayyiduna Ibn Umar (may Allah be pleased with them both), so he said: "Abu Hurairah narrates many ahadith to us." It was said to him: "Do you deny what he is narrating?" He replied: "No, but he was bold in narrating many ahadith, and we remained cautious." When this statement reached Sayyiduna Abu Hurairah (may Allah be pleased with him), he said: "What is my fault if I remembered (the sayings of the Prophet) and they forgot?"

Sayyiduna Ibn Abbas (may Allah be pleased with them both) says that I went to visit my maternal aunt and I coincided with the night of the Messenger of Allah (peace be upon him) (meaning that this night the Prophet (peace be upon him) was at my aunt's house). Then he narrated the hadith further and said that the Messenger of Allah (peace be upon him) prayed two rak'ahs (Sunnah), then he lay down until I heard his snoring. Then the iqamah for prayer was given, and the Prophet (peace be upon him) went out and led the prayer.

And the evidence that the Prophet, peace and blessings be upon him, only commanded lying down after the two rak‘ahs of Fajr as a recommendation and guidance, not as an obligation or requirement, and the concession in the hadith after the two rak‘ahs of Fajr.

Lady Aisha (may Allah be pleased with her) narrates that the Messenger of Allah (peace and blessings be upon him) would perform the two rak'ahs (Sunnah) of Fajr, then if I was awake, he would talk with me, and if I was asleep, he would lie down until the (obligatory) prayer stood.