In Genesis, what did God establish with Noah after the Flood?

In Genesis, God established a covenant with Noah after the Flood.

Genesis 9 describes this covenant with Noah, his descendants, and every living creature. God promises that a flood will not again destroy all life or devastate the earth in that way. The covenant is presented as permanent and universal in scope, extending beyond Noah’s family to the animals associated with the Flood narrative.

The rainbow is given as the sign of this covenant. The text therefore distinguishes the covenant itself from its visible sign. A common shorthand says that God “made a rainbow,” but Genesis says the rainbow serves as a reminder or sign of the covenant between God and the earth. The covenant follows Noah’s departure from the Ark and his offering at an altar.