Chuck Smith emphasizes the significance of the priestly blessing from Numbers 6:23, explaining that the Lord's name represents His character and attributes. He elaborates on how the priest's duty is to invoke God's blessings, which include protection, grace, and peace for the people of Israel. Smith highlights that God's blessings are not based on human merit but on His grace, and that true peace comes through a relationship with Jesus Christ. The sermon encourages believers to recognize God's desire to bless and keep them, illuminating their lives with His presence.