New Covenant Living & Ministry Covenant or contract is an important theme in the Bible. God made covenants with His people. He deals with them according to the covenants He made with them. Today we are under God’s New Covenant. For all God’s dealings with us in addition to our dealings with God will be governed by this New Covenant. We are therefore called to have New Covenant Living as well as New Covenant Ministry. It is hence extremely essential for us to be sure that our living and ministry are of the New Covenant way.