It is a good practice for all of us to pray for the Pope on a regular basis. As we might imagine, he carries a lot on his shoulders as he governs the Universal Church; he continues to reach out to others, building bridges towards unity within the Christian community, and in reaching out to people of other faith traditions.
Let us then, hold our Pope in constant prayer, that he may continue to shepherd the Church according to God’s divine will.
Lord Jesus Christ, Son of God,
and Son of Mary, we praise you!
Before ascending into Heaven,
You, the Good Shepherd,
entrusted the care of Your sheep
to Peter to tend and feed them.
Send the Holy Spirit
to our Holy Father, the Pope.
Enlighten his mind,
enflame his heart
and strengthen his will
so that he may fulfill
Your Holy Will toward us.
Console him in his trials,
assist him in his labors
and make him a Saint.
Amen.
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O Lord, we are the millions of believers, humbly kneeling at Thy feet and begging Thee to preserve, defend and save the Sovereign Pontiff for many years. He is the Father of the great fellowship of souls and our Father as well. On this day, as on every other day, he is praying for us also, and is offering unto Thee with holy fervor the sacred Victim of love and peace.
Wherefore, O Lord, turn Thyself toward us with eyes of pity; for we are now, as it were, forgetful of ourselves, and are praying above all for him. Do Thou unite our prayers with his and receive them into the bosom of Thine infinite mercy, as a sweet savor of active and fruitful charity, whereby the children are united in the Church to their Father. All that he asks of Thee this day, we too ask it of Thee in unison with him.
Whether he weeps or rejoices, whether he hopes or offers himself as a victim of charity for his people, we desire to be united with him; nay more, we desire that the cry of our hearts should be made one with his. Of Thy great mercy grant, O Lord, that not one of us may be far from his mind and his heart in the hour that he prays and offers unto Thee the Sacrifice of Thy blessed Son. At the moment when our venerable High Priest, holding in His hands the very Body of Jesus Christ, shall say to the people over the Chalice of benediction these words: “The peace of the Lord be with you always,” grant, O Lord, that Thy sweet peace may come down upon our hearts and upon all the nations with new and manifest power. Amen.
- Attributed to Pope Leo XIII

And today:
As the conclave prepares to gather, let us begin our prayer for the election for the new pope:
O Lord, with suppliant humility we entreat Thee, that in Thy boundless mercy Thou wouldst grant the most holy Roman Church a pontiff, who, by his zeal for us, may be pleasing to Thee, and by his good government may ever be honored by Thy people for the glory of Thy name. Through our Lord. (Collect)
Amen.