γένεσιςgénesis

nativity; figuratively, nature

Greek (New Testament) · G1078

Meanings

1. origin, lineage: βίβλος γενέσεως (as in Genesis 2:4a Genesis 5:1), Matthew 1:1.

2. birth: Matthew 1:18, Luke 1:14 (Rec. γέννησις); πρόσωπον τῆς γ., face of his birth, James 1:23; ὁ τροχὸς τῆς γ., the wheel (course) of birth or creation, James 3:6.

Same root

γενεάgeneá · G1074a generation; by implication, an age (the period or the persons)
γενέσιαgenésia · G1077birthday ceremonies
παλιγγενεσίαpalingenesía · G3824(spiritual) rebirth (the state or the act), i.e. (figuratively) spiritual renovation; specially, Messianic restoration

Where it appears

Appears 5 times in the Bible.

Matthew 1:1 This is a record of the ancestors of Jesus the Messiah, a descendant of David and of Abraham:
Matthew 1:18 This is how Jesus the Messiah was born. His mother, Mary, was engaged to be married to Joseph. But before the marriage took place, while she was still a virgin, she became pregnant through the power of the Holy Spirit.
Luke 1:14 You will have great joy and gladness, and many will rejoice at his birth,
James 1:23 For if you listen to the word and don’t obey, it is like glancing at your face in a mirror.
James 3:6 And among all the parts of the body, the tongue is a flame of fire. It is a whole world of wickedness, corrupting your entire body. It can set your whole life on fire, for it is set on fire by hell itself.

Source: G. Abbott-Smith, A Manual Greek Lexicon of the New Testament (1922), public domain.