When are duas most likely to be accepted?
Allah is near and answers the caller. Special times include the last third of every night, when Allah asks: “Who is calling Me so that I may answer?”; while in sujud, the nearest a servant is to his Lord; and a short hour on Friday. Call on Him with certainty and patience.
Evidence
وَإِذَا سَأَلَكَ عِبَادِي عَنِّي فَإِنِّي قَرِيبٌۖ أُجِيبُ دَعۡوَةَ ٱلدَّاعِ إِذَا دَعَانِۖ فَلۡيَسۡتَجِيبُواْ لِي وَلۡيُؤۡمِنُواْ بِي لَعَلَّهُمۡ يَرۡشُدُونَ
And when My servants ask you, [O Muḥammad], concerning Me - indeed I am near. I respond to the invocation of the supplicant when he calls upon Me. So let them respond to Me [by obedience] and believe in Me that they may be [rightly] guided.
وَقَالَ رَبُّكُمُ ٱدۡعُونِيٓ أَسۡتَجِبۡ لَكُمۡۚ إِنَّ ٱلَّذِينَ يَسۡتَكۡبِرُونَ عَنۡ عِبَادَتِي سَيَدۡخُلُونَ جَهَنَّمَ دَاخِرِينَ
And your Lord says, "Call upon Me; I will respond to you." Indeed, those who disdain My worship will enter Hell [rendered] contemptible.
مَنْ يَدْعُونِي فَأَسْتَجِيبَ لَهُ مَنْ يَسْأَلُنِي فَأُعْطِيَهُ مَنْ يَسْتَغْفِرُنِي فَأَغْفِرَ لَهُ
Narrated Abu Huraira:Allah's Messenger (ﷺ) (p.b.u.h) said, "Our Lord, the Blessed, the Superior, comes every night down on the nearest Heaven to us when the last third of the night remains, saying: "Is there anyone to invoke Me, so that I may respond to invocation? Is there anyone to ask Me, so that I may grant him his request? Is there anyone seeking My forgiveness, so that I may forgive him?"
أَقْرَبُ مَا يَكُونُ الْعَبْدُ مِنْ رَبِّهِ وَهُوَ سَاجِدٌ فَأَكْثِرُوا الدُّعَاءَ
Abu Huraira reported:The Messenger of Allah (ﷺ) said: The nearest a servant comes to his Lord is when he is prostrating himself, so make supplication (in this state).
سَاعَةٌ لاَ يُوَافِقُهَا عَبْدٌ مُسْلِمٌ، وَهْوَ قَائِمٌ يُصَلِّي، يَسْأَلُ اللَّهَ تَعَالَى شَيْئًا إِلاَّ أَعْطَاهُ إِيَّاهُ
Narrated Abu Huraira:Allah's Messenger (ﷺ) (p.b.u.h) talked about Friday and said, "There is an hour (opportune time) on Friday and if a Muslim gets it while praying and asks something from Allah, then Allah will definitely meet his demand." And he (the Prophet) pointed out the shortness of that time with his hands.
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