The Authentic Method of Eid prayer

*The Authentic Method of Eid prayer * 
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✦  1. Rasool-Allah Sallallahu Alahih Wasallam would say the takbir (Allahu Akbar) seven times in the first rakah and five times the second rakah on the day of the breaking of the fast (Eid Al fitr) and on the day of sacrifice (Eid Al Adha)
Sunan Abu Dawud,Book 3,1145-Sahih

2. First of all do intention by heart for Eid prayer and say First Takbir - Allahu Akbar and Recite Sana
سُبْحَانَكَ اللهُمَّ وَبِحَمْدِكَ وَتَبَارَكَ اسْمُكَ وَتَعَالٰی جَدُّكَ وَلَا إِلَهَ غَيْرَكَ
Subhanaka Allahumma Wa bi hamdika, 
Wa tabarakas-muka, wa taala jadduka, wa la ilaha gairuka.

✦ 3. After that say remaining 6 takbir and during each takbir raise your hand and leave or place on chest (both are correct)
Allahu Akbar... 
Allahu Akbar...
Allahu Akbar...

Allahu Akbar...
Allahu Akbar...
Allahu Akbar..


Note : Some scholar says Takbir tehrima (opening takbir of salah) will not be counted in this six takbirat  so you need to say 7 takbirat here - Allah knows best)

✦ 4. Now place your hand on chest and say  AuzubillahiMinashshaitanirrajeem Bismillahirrhamanirrahim and recite Surah fatiha aur and any one surah

✦5. Perform Ruku and two Sujud (prostration) After saying Allahu Akbar just stand up for second rakah

✦ 6. Now say 5 takbir again 
Allahu Akbar... 
Allahu Akbar...
Allahu Akbar...

Allahu Akbar...
Allahu Akbar..

and during each takbir raise your hand and leave or place on chest (both are correct)

✦7. After 5th takbir place your hand on chest and recite Surah fatiha and any surah then Perform Ruku and two Sujud (Prostration) as usual

✦ 8. After that same like other prayers Recite Attahiyat , Durud ibrhaim , Dua and say salam.

*Note : There is no seremon (khutaba) for the one who perfome eid prayer at home and you can prayer eid prayer alone or with jamah also*
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Video:
https://www.youtube.com/watch?v=Ls7G4VCVmtA


English
https://islamqa.info/En/answers/36491/