There are several different covenants mentioned in the Bible. Knowing about these covenants helps us to know about God's will for us and His relationship with Israel. Below is a brief description of each.
The list includes
Found in Genesis 1:28-30; 2:15-17 this covenant governed life on the Edenic earth after Adam and Eve's creation.
Found in Genesis 3:14-19 this covenant laid down terms that would regulate life in a fallen world.
Found in Genesis 8:20-9:17 this covenant instituted an era during which man sought to govern himself.
In Genesis 12:1-3 the Lord made promises to Abram that involved three concepts: land, descendants and blessing. First, God commanded Abram to leave his homeland of Ur (modern-day Iraq) for the land God would show him. This promised land is described later in Genesis.
Second, God promised Abram that he would become a great person and great nation. Though childless, Abram was promised a progeny.
Third, God promised that Abram would receive His blessing as well as mediate it to all the families of the earth. The focus on Abram is so central that God said, “I will bless them that bless thee, and curse him that curseth thee” (Gen. 12:3). This man became the unique channel of reciprocity from God. Cursing would come to those who treated Abram and his descendants with contempt; blessing would flow to those who treated them with favor.
Found in Exodus 20; 21; 25:1-40: 38 this covenant was offered to Israel as a mandatory, legalistic system.
Found in Deuteronomy 30: 1-10 this covenant promised Israel's physical and spiritual restoration.
Found in 1 Samuel 7:4-17 this covenant established the temporal and eternal rule of David's posterity.
God promised to one day initiate a New Covenant. Found in Jeremiah 31:31-37 and confirmed in Hebrews 8:7-13 this covenant promises that God's Spirit will dwell in His people.
Recommended reading includes The Eight Covenants Of The Bible by Gary Hedrick.
Some information came from The Eight Covenants Of The Bible by Gary Hedrick.