'New Covenant' in the Bible

For finding fault with them, he says, Behold the days are coming, says the Lord, and I will perfect upon the house of Israel and upon the house of Judah, a new covenant:

And on this account he is mediator of the new covenant, since there being death, unto the redemption of the transgressions unto the first covenant, those having been called may receive the promise of eternal inheritance.

and to Jesus the mediator of the new covenant, and to the blood of sprinkling, speaking something better than the blood of Abel.