Question: If any of the two `Eeds fall on a Friday (Jumu'ah), do you pray the Jumu'ah (prayer) with its khutbah on that day or not?
Response: That which is legislated for the Muslims if the `Eed coincides with Friday is to pray the`Eed prayer and the Jumu'ah prayer in the masaajid (plural of masjid) where the Jumu'ah prayer is (normally) held. And it is permissible for one who attended the `Eed prayer to leave off the Jumu'ah and instead perform the Zuhr prayer.
Shaykh Ibn Baaz
Majmoo' Fataawa Samaahatu ash-Shaykh Ibn Baaz – Volume 4, Page 504, Fatwa No. 556. fatwaonline.com