From the Book of Divine Worship - The Proper: First Part - Maundy Thursday
After the prayer the priest stands before the altar and puts incense in the thurible. Kneeling, he incenses the Blessed Sacrament three times. Then he receives the humeral veil, takes the ciborium, and covers it with the ends of the veil.
The Blessed Sacrament is carried through the church in procession, led by a cross-bearer and accompanied by candles and incense, to the place of reposition prepared in a chapel suitably decorated for the occasion. During the procession the hymn Pange, lingua (exclusive of the last two stanzas) or some other eucharistic song is sung.
When the procession reaches the place of reposition, the priest sets the ciborium down.
Then he puts incense in the thurible and, kneeling, incenses the Blessed Sacrament, while Tantum ergo Sacramentum is sung. The tabernacle of reposition is then closed.
After a period of silent adoration, the priest and ministers genuflect and return to the sacristy.
Then the altar is stripped and, if possible, the crosses are removed from the church. It is desirable to cover any crosses which remain in the church.
Vespers are not said by those who participate in the evening Mass.
The faithful should be encouraged to continue adoration before the Blessed Sacrament for a suitable period of time during the night, according to local circumstances; but there should be no solemn adoration after midnight.