Al-Hijra is the Islamic New Year, Muharram is the first month in Islamic calendar, celebrated on the first day of the month of Muharram, the month in which Muhammad emigrated from Mecca to Medina. The holiday is also called simply Muharram. Al-Hijra / Muharram is also on the same day of the Islamic calendar, the date on the Gregorian calendar which changes from year to year.
List of Muslim Holidays