Mt 3:15, Jn 1:29, Rom 1:17, Rom 3:21-22,25-26, Rom 5:1
The revelation of God's righteousness was foretold in the Old Testament. (Rom 1:17, Rom 3:21)
Rom 1:17 For therein is the righteousness of God revealed from faith to faith: as it is written, The just shall live by faith.
Rom 3:21 But now the righteousness of God without the law is manifested, being witnessed by the law and the prophets;
Jesus is the Christ who accomplished the righteousness of God by taking on the sins of the world. (Mt 3:15, Jn 1:29)
Mt 3:15 And Jesus answering said unto him, Suffer it to be so now: for thus it becometh us to fulfil all righteousness. Then he suffered him.
Jn 1:29 The next day John seeth Jesus coming unto him, and saith, Behold the Lamb of God, which taketh away the sin of the world.
The righteousness of God has been fulfilled for those who believe in Jesus as the Christ. (Rom 3:22,25-26, Rom 5:1, 2 Pt 1:1)
Rom 3:22 Even the righteousness of God which is by faith of Jesus Christ unto all and upon all them that believe: for there is no difference: 25 Whom God hath set forth to be a propitiation through faith in his blood, to declare his righteousness for the remission of sins that are past, through the forbearance of God; 26 To declare, I say, at this time his righteousness: that he might be just, and the justifier of him which believeth in Jesus.
Rom 5:1 Therefore being justified by faith, we have peace with God through our Lord Jesus Christ:
2 Pt 1:1 Simon Peter, a servant and an apostle of Jesus Christ, to them that have obtained like precious faith with us through the righteousness of God and our Saviour Jesus Christ: