The Catechism in Questions & Answers

279. What is the relationship between a person’s good works and his redemption?

Redemption cannot be earned through good works. It can only come from the grace of Christ. This requires belief in Christ.
Good works are the expression of a living faith. Thus an individual’s faith should lead him to strive for holy conduct, which is also demonstrated in his works.

“For the grace of God that brings salvation has appeared to all men.” The response of the individual to this should be to “live soberly, righteously, and godly in the present age, looking for the blessed hope and glorious appearing of our Great God and Saviour Jesus Christ, who gave Himself for us, that He might redeem us from every lawless deed and purify for Himself His own special people, zealous for good works.”
Titus 2: 11-14