Alexander was born into the Óvár branch of the gens (clan) Győr of German origin, as one of the five sons of Stephen I.
His brothers were ban Maurus; prelate and chancellor Saul, Bishop of Csanád, then Archbishop of Kalocsa; Csépán, a powerful baron and Palatine of Hungary and Pat, who also held that position.
When the royal army invaded Serbia then Bulgaria in 1201 or 1202, Alexander participated in the skirmish against Gubasel, who was possibly a Cuman chieftain of Bulgarian tsar Kaloyan.
[2] He served as ispán of Moson County in 1207, but died soon, as his brother Pat succeeded him in that year.
[3] When King Andrew II confirmed the Győr brothers' donations to the Lébény Abbey in 1208, Alexander was already referred to as a deceased person.