That ye might walk worthy of the Lord unto all pleasing, being fruitful in every good work, and increasing in the knowledge of God;
Colossians 1:10 (KJV)
What is meant by walking worthy of the Lord is that we walk in the righteousness that has been made available to us in Christ Jesus. Walking worthy of the Lord has ultimately nothing to do with our own works, it is not us living up to some kind of ideal and never falling short; it is simply to put our complete faith and trust in the finished works of Jesus. Walking worthy of the Lord is to live by grace. And grace transforms our actions by transforming our hearts. Grace causes us to be fruitful in every good work and opens us to increase in the knowledge of God.