It is recommended to perform the Eid prayer and it consists of two rak'ahs. In the first rak'ah, Surah "Hamd" and Surah "A'la" (or any other Surah that you prefer) are recited, and then five takbirs are said, and after each takbir, Qunut is performed and the following supplication is recited:

اللَّهُمَّ أَنْتَ أَهْلُ‏ أَهْلَ الْکِبْرِیاءِ وَالْعَظَمَةِ وَأَهْلَ الْجُودِ وَالْجَبَرُوتِ وَأَهْلَ الْعَفْوِ وَالرَّحْمَةِ وَأَهْلَ التَّقْوَی وَ الْمَغْفِرَةِ أَسْأَلُکَ بِحَقِّ هَذَا الْیوْمِ الَّذِی جَعَلْتَهُ لِلْمُسْلِمِینَ عِیدا وَلِمُحَمَّدٍ صَلَّی اللَّهِ عَلَیهِ وَآلِهِ ذُخْرا وَشَرَفا وَمَزِیدا أَنْ تُصَلِّی عَلَی مُحَمَّدٍ وَآلِ مُحَمَّدٍ وَأَنْ تُدْخِلَنِی فِی کُلِّ خَیرٍ أَدْخَلْتَ فِیهِ مُحَمَّدا وَآلَ مُحَمَّدٍ وَأَنْ تُخْرِجَنِی مِنْ کُلِّ سُوءٍ أَخْرَجْتَ مِنْهُ مُحَمَّدا وَآلَ مُحَمَّدٍ صَلَوَاتُکَ عَلَیهِ وَعَلَیهِمْ أَجْمَعِینَ اللَّهُمَّ إِنِّی أَسْأَلُکَ خَیرَ مَا سَأَلَکَ مِنْهُ عِبَادُکَ الصَّالِحُونَ وَأَعُوذُ بِکَ فِیهِ مِمَّا اسْتَعَاذَ مِنْهُ عِبَادُکَ 

الصَّالِحُونَ

Then he should say the sixth takbir and go to ruku'. After ruku' and sajdah, he should stand up and start reciting the second rak'ah. In the second rak'ah, after Surah "Hamd", Surah "Shams" or another surah should be recited. Then he should say four takbirs and after each takbir he should recite the same qunut. Then he should say the fifth takbir and go to ruku' and sajdah and complete the prayer.

After the prayer, he should say the Tasbihat of Hazrat Zahra (s.a.) and then recite the supplications that have been narrated, one of which is the forty-sixth supplication of "Sahifa al-Sajjadiyyah". It is recommended that the Eid prayer be under the sky and after the prayer, he should pray for the other believers to have their deeds accepted.