There are two Muslim festivals set down in Islamic law: Eid-ul-Fitr and Eid-ul-Adha ("Eid" or "Id" is a word meaning festival).
There are also several other special days which Muslims celebrate.
Al-Hijra (1 Muharram) - The Islamic New Year's Day
This festival commemorates the Hijra (or Hegira) in 622 CE when the Prophet Muhammad (pbuh) moved from Mecca to Medina .
This was the beginning of the growth of Islam into a world faith.