* Normal as in usual or typical: κανονικός (kanonikós) is a good choice for this meaning. It implies something conforming to a rule or standard.
* Normal as in average or standard: μέσος (mésos) means average or middle.
* Normal as in healthy or not abnormal: φυσιολογικός (physiologikós) is suitable here, as it refers to something in accordance with the laws of nature or physiology.
* Normal as in perpendicular: κάθετος (káthetos) is the specific word for perpendicular, a geometric "normal."
Therefore, the best Greek translation depends entirely on the context in which you're using the word "normal."