John Gill Commentary Psalms 37:6

"And he will make thy righteousness to go forth as the light, And thy justice as the noon-day." — Psalms 37:6 (ASV)

And he shall bring forth your righteousness as the light
That is, the good man having committed his cause to him that judgeth righteously, he will, in his own time, clearly make it appear that it is a righteous one, both to himself and others, in whatsoever obscurity it may have lain;

and your judgment as the noonday ;
That is, the same as before, unless rather the righteousness of Christ, which is the believer's by imputation, and is a justifying one in the judgment of God, should be meant; see (Micah 7:9) ; and the phrases may denote not barely the revelation of it in the Gospel, but the more clear manifestation of it to the believer himself, from faith to faith; or as it will be still more clearly revealed and declared at the day of judgment, when those who are clothed with it shall shine as the sun in the kingdom of their Father, and be clear of all those charges and imputations which they have lain under in this life.