Alexander’s mother, Olympias was Molossian. The Molossi were a Greek tribe living in Epirus. Epirotes were Greek. Alexander the great was Greek by both parents. (http://en.wikipedia.org/wiki/Olympias)
His father, Pihilip II, was Macedonian, that is Greek. Alexander’s grand father, Alexander I, participated in the Olympics where at that time only Greeks could participate.

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