Jesus obtained a more excellent ministry, as mediator of a better covenant

Hebrews 8:1-9, Reads, We have such an High priest, who is set on the right hand of the throne of the Majesty in the heavens; A minister of the sanctuary, and of the true tabernacle, which the Lord pitched, and not man. For every high priest is ordained to offer gifts and sacrifices: wherefore it is of necessity that this Man have some what also to offer. If He [Jesus] were on earth, He would not be a priest, For there are already men who offer gifts prescribed by the Law. They serve at a sanctuary that is a copy  and Shadow of what is in Heaven. This is why Moses was warned when he was about to build the Tabernacle: See that you Make Everything according to the Pattern Shown you on the Mountain. Exodus 25:1- 40, Acts 7:44-45, Our Father had the Tabernacle of witness in the wilderness, as He had appointed Moses, that he should make it according to the Fashion that he had seen. Having received the tabernacle, our Fathers under Joshua brought it with them when they took the land from the Nations God drove out before them. It remained in the land an till the time of David.]
The Lord Jesus Christ has obtained a more excellent ministry, and as  Mediator of a better covenant , Which was established on better promises. For if the First Covenant was faultless, No place would have been Sought for another. So God said, The Time is Coming, Declares the Lord, When I will make A New Covenant with the house of Israel, and with the house of Judah. Not according to the Covenant that I made with their fathers, when I took them out of  Egypt. Jeremiah 31:31, 

 This Covenant was made to Israel, by God as a Nation. Hebrews 8:10, This is the Covenant I will make with the house of Israel, I will put my Laws in there minds and write them on their hearts, I will be their God, and they shall be My people.[ A Covenant is an agreement or contract that God made with humanity in the past.some have conditions. Like when God told Adam before the fall of man in the Garden, not to eat the fruit. He disobeyed with disobedience, Spiritual death, for The human race.The Covenant with Abraham has no conditions, but promises of blessings, to him and his descendants. And in Christ, we have  new Promises with the Church, the bride of Christ. promises of eternal life in heaven to be with Jesus. By God's grace and faith in the Lord Jesus Christ.     ]
The promises of all Spiritual blessing, and eternal life, revealed in the gospel, and made sure  through  Christ. The excellence of the priesthood of Christ, is above that of Aaron, is shown from that covenant of grace, of which Christ our Lord was Mediator. The law not only made all subject to it, it condemns for the guilt of sin,  but was unable to remove that guilt or clear the conscience. the Blood of Christ provided a Full remission of  Sins.

Christ took upon Himself  human Nature, Came to earth and gave Himself  as a Sacrifice to God, for the Sins of human being. The pardon for sin can only be found in the Lord Jesus Christ. the Blood of Christ purifies the heart of those who come to God through Christ. Jesus said, In 1Corinthians 11:25, This cup is the new covenant in My Blood; The new Covenant in Christ for the Church is a Blood washed heart. Hebrews 7:25, Therefore He is able to saves completely, those who come to God through Him.   
Romans 8:1, Therefore, there is now no Condemnation for those who are in Christ Jesus.]
By Calling this Covenant new, He has made the first one Obsolete; and what is obsolete and aging  will disappear. Hebrews 12:24 Jesus the mediator of a new Covenant and to the sprinkled blood that speaks of a better word than the blood of Abel.  He was the Son of Adam and Eve.