Charles Ellicott Commentary Romans 8:4

"that the ordinance of the law might be fulfilled in us, who walk not after the flesh, but after the Spirit." — Romans 8:4 (ASV)

The consequence of this was a great change. Until now, the Law could not be kept because of the antagonistic influence of the flesh; from now on, it may be kept for the reason that this influence has ceased and that its place is taken by the influence of the Spirit.

The righteousness.—The just requirement of the Law, its due and rightful claims.

Might be fulfilled in us.—That we might be examples of its fulfilment.

Who walk not after the flesh.—Who direct our conduct not as the flesh would guide us, but according to the dictates and guidance of the Spirit—i.e., the indwelling Spirit of Christ, as in Romans 8:2.