(1) Personal Struggle (in the way of Allah (God) to keep evil away from yourself)
(2) Holy War (Fighting a fair, defensive war - to stop oppression)

There are two types of Jihad:
(1) The greater (akbar) Jihad - This is preserving ones-self from sin and disbelief.
(2) The lesser (asghar) Jihad - This is going to war to defend Islam, people, property or occupation of a Muslim or Islamic country.