GOD'S WORD® Translation
They don't understand [how to receive] God's approval. So they try to set up their own way to get it, and they have not accepted God's way for receiving his approval.

American Standard Version
For being ignorant of God's righteousness, and seeking to establish their own, they did not subject themselves to the righteousness of God.

Berean Study Bible
Because they were ignorant of God’s righteousness and sought to establish their own, they did not submit to God’s righteousness.

Douay-Rheims Bible
For they, not knowing the justice of God, and seeking to establish their own, have not submitted themselves to the justice of God.

English Revised Version
For being ignorant of God's righteousness, and seeking to establish their own, they did not subject themselves to the righteousness of God.

King James Bible
For they being ignorant of God's righteousness, and going about to establish their own righteousness, have not submitted themselves unto the righteousness of God.

World English Bible
For being ignorant of God's righteousness, and seeking to establish their own righteousness, they didn't subject themselves to the righteousness of God.

Young's Literal Translation
for not knowing the righteousness of God, and their own righteousness seeking to establish, to the righteousness of God they did not submit.

Romans 10:3 Additional Translations ...