Man still has a sin problem (Rom. 3:10). The solution for the problem is still blood (Heb. 9:22), but it is no longer necessary to sacrifice animals because Jesus has died as the ultimate and everlasting sacrifice.
"The next day John saw Jesus coming toward him and said, 'Look, the Lamb of God, who takes away the sin of the world!'" (John 1:29 NIV).
Jesus allowed Himself to be put to death so that His holy blood could cleanse us. The sacrifice Jesus made when He hung on the tree is the final sacrifice and no other is needed.
The following Scriptures attest to this fact.
...But because Jesus lives forever, he has a permanent priesthood. Therefore he is able to save completely those who come to God through him, because he always lives to intercede for them.
Such a high priest meets our need - one who is holy, blameless, pure, set apart from sinners, exalted above the heavens. Unlike the other high priests, he does not need to offer sacrifices day after day, first for his own sins, and then for the sins of the people. He sacrificed for their sins once for all when he offered himself.
(Heb. 7:24-27 NIV)
And by that will, we have been made holy through the sacrifice of the body of Jesus Christ once for all. Day after day every priest stands and performs his religious duties; again and again he offers the same sacrifices, which can never take away sins.
But when this priest had offered for all time one sacrifice for sins, he sat down at the right hand of God. Since that time he waits for his enemies to be made his footstool, because by one sacrifice he has made perfect forever those who are being made holy.
(Heb. 10:10-14 NIV)
All rights reserved. Used by permission.