Performing `Eid prayers is a confirmed Sunnah that Muslims, males and females, should be keen to attend. It is also highly recommended for women to participate and listen to the sermon. However, if a woman could not attend for some reason and performed it at home, it would be also valid.
In his well-known book, Fiqh As-Sunnah, Sheikh Sayyed Sabiq states: The prayers of the two `Eids were prescribed in the first year after the migration. It is a confirmed Sunnah, as the Prophet (peace and blessings be upon him) always performed these prayers and he ordered the men and women to go out to attend them.
For whom the performance of `Eid prayer is valid:
The `Eid prayer is valid for men, women, children, travelers, residents, people in congregation, and people praying individually. It is also valid if performed in a house, mosque, or a distant place designated for the prayer, and so on.
Women and children going out to attend `Eid prayer:
Shari`ah urges women and children to go out and attend the `Eid prayer. This includes married, single, young, old, or menstruating women.
Umm `Atiyyah reported: “We were ordered to go out with the single and menstruating women to the two `Eids in order to witness the good and the supplications of the Muslims. The menstruating women would be separate from the others.” (Reported by Al-Bukhari and Muslim)
Ibn `Abbas said that the Prophet would take his wives and daughters to the two `Eids. This is reported by Ibn-Majah and al-Bayhaqi.
Ibn `Abbas further reported: “I went out with the Prophet on the day of breaking the fast or of the sacrifice, and he prayed and gave a khutbah (sermon), and then he went to the women and admonished them, reminded them of Allah, and ordered them to give charity.” (Reported by Al-Bukhari)