CCC 2814 The sanctification of his name among the nations depends inseparably on our life and our prayer:
We ask God to hallow his name, which by its own holiness saves and makes holy all creation. .. It is this name that gives salvation to a lost world. But we ask that this name of God should be hallowed in us through our actions. For God’s name is blessed when we live well, but is blasphemed when we live wickedly. As the Apostle says: “The name of God is blasphemed among the Gentiles because of you.” We ask then that, just as the name of God is holy, so we may obtain his holiness in our souls.1
When we say “hallowed be thy name,” we ask that it should be hallowed in us, who are in him; but also in others whom God’s grace still awaits, that we may obey the precept that obliges us to pray for everyone, even our enemies. That is why we do not say expressly “hallowed be thy name ‘in us,”’ for we ask that it be so in all men.2
1 St. Peter Chrysologus, Sermo 71, 4: PL 52:402A; cf. Rom 2:24; Ezek 36:20-22.
2 Tertullian, De orat. 3: PL 1:1157A.