The origin of the name Alexander is Greek
This is how Alexander is written in Greek
Ἀλεξανδρεύς = Alexandreu
The biblical meaning of the name Alexander is Alexandreian or inhabitant of Alexandria
The name Alexander appears in the bible in the following verses:
Acts 6:9 KJV
Then there arose certain of the synagogue, which is called the synagogue of the Libertines, and Cyrenians, and Alexandrians, and of them of Cilicia and of Asia, disputing with Stephen.
Acts 18:24 KJV
And a certain Jew named Apollos, born at Alexandria, an eloquent man, and mighty in the scriptures, came to Ephesus.