Was Jesus a Hebrews or a Nazarene?

The Nazarenes were a sect of Judaism, not an ethicity.

Jesus was born a hebrew, and is beleived to have spent some time with the Jewish nazaren sect before starting his own ministy.

He was both. "Hebrew" refers to the Jewish race; "Nazarene" (as applies to Jesus) refers not to a sect, but to the town of Nazareth, where Joseph and Mary made their home. Matthew 2:23 - And he came and dwelt in a city called Nazareth, that it might be fulfilled which was spoken by the prophets, "He shall be called a Nazarene." (There is no scriptural evidence to support the idea that Jesus belonged to any particular Jewish sect prior to His ministry.)