Some manuscripts add who walk not according to the flesh but according to the Spirit. The word condemnation, in Greek is katakrima (kat-ak'-ree-mah), which means the sentence of god against sin, a damnatory sentence, an adverse sentence (the verdict).
The Apostle Paul is telling us, for those who have given themselves up inwardly to Yeshua, the Soon Coming King face no penalty of death for the sins we entered the world carrying. Romans 5:16, goes on to tell us the free gift of eternal life is not like the result of one man's sin. For the judgment following one trespass brought a damnatory sentence, BUT the favor with which one receives without any merit of his own makes you justified. The sacrifice of The Lamb has deemed us right. Our salvation, once received becomes law. It gives us rights in the Kingdom of God. Your salvation is what has been established by Jesus Christo. In America citizenship must be validated trough either visa, social security card, birth certificate, or green card. To enter the kingdom of eternal life our citizenship must be Him. When we have proof of citizenship we receive rights by law. His blood being shed made an ordinance, an ordained law that we no longer wear the chains of the devil.