Hebrews 11:8-19 New International Version (NIV)
8 By faith Abraham, when called to go to a place he would later receive as his inheritance, obeyed and went, even though he did not know where he was going. 9 By faith he made his home in the promised land like a stranger in a foreign country; he lived in tents, as did Isaac and Jacob, who were heirs with him of the same promise. 10 For he was looking forward to the city with foundations, whose architect and builder is God. 11 And by faith even Sarah, who was past childbearing age, was enabled to bear children because she[a] considered him faithful who had made the promise. 12 And so from this one man, and he as good as dead, came descendants as numerous as the stars in the sky and as countless as the sand on the seashore.
13 All these people were still living by faith when they died. They did not receive the things promised; they only saw them and welcomed them from a distance, admitting that they were foreigners and strangers on earth. 14 People who say such things show that they are looking for a country of their own. 15 If they had been thinking of the country they had left, they would have had opportunity to return. 16 Instead, they were longing for a better country—a heavenly one. Therefore God is not ashamed to be called their God, for he has prepared a city for them.
17 By faith Abraham, when God tested him, offered Isaac as a sacrifice. He who had embraced the promises was about to sacrifice his one and only son, 18 even though God had said to him, “It is through Isaac that your offspring will be reckoned.”[b] 19 Abraham reasoned that God could even raise the dead, and so in a manner of speaking he did receive Isaac back from death.
Abraham had an obedient faith and his justification was a process that BEGAN in Genesis 12 when he was told to leave his house, land and kindred. Had Abraham rebelled in Genesis 12 against God and not moved, then the process of his justification would have ended and Abraham would have not been justified before God.
Hebrews 11:4 Abel also had an obedient faith in doing as God told him therefore Abel is called “righteous”.
Those OT characters mentioned in Hebrews 11 had obedient faiths, they are said to have “worked righteousness”, (Heb 11:33). Peter says in Acts 10:35 that anyone anywhere that “works righteousness” is accepted with God. Doing God’s righteousness is a process until one dies...”And he that overcometh, and keepeth my works UNTO THE END, to him will I give power over the nations:” (Rev 2:26)