Noah's wife is mentioned several times throughout the Bible passage Genesis chapters 6 to 9. However she is only ever referred to as Noah's wife and as part of a group, so there is no way of knowing exactly what her name is.
Below is an outline of the story of Noah's Ark:
God saw how great wickedness had become and decided to wipe mankind from the face of the earth. However, one righteous man among all the people of that time, Noah, found favor in God's eyes. With very specific instructions, God told Noah to build an ark for him and his family in preparation for a catastrophic flood that would destroy every living thing on earth.
God also instructed Noah to bring into the ark two of all living creatures, male and female, along with every kind of food to be stored as food for the animals and his family while on the ark. Noah obeyed everything God commanded him to do.
After they entered the ark, rain fell on the earth for a period of forty days and nights. The waters flooded the earth for a hundred and fifty days, and every living thing on the face of the earth was wiped out. As the waters receded, the ark came to rest on the mountains of Ararat Noah and his family continued to wait for almost eight more months while the surface of the earth dried out.
Finally after an entire year, God invited Noah to come out of the ark. Immediately, he built an altar and worshiped the Lord with burnt offerings from some of the clean animals. God was pleased with the offerings and promised never again to destroy all the living creatures as he had just done. Later God established a covenant with Noah: "Never again will there be a flood to destroy the earth." As a sign of this everlasting covenant God set a rainbow in the clouds.