Psalms 72:20 - Albert Barnes' Notes on the Bible

The prayers of David the son of Jesse are ended - This is not found in the Syriac. The following is added in that version at the close of the psalm: “The end of the Second Book.” In regard to this twentieth verse, it is quite clear that it is no part of the psalm; and it is every way probable that it was not placed here by the author of the psalm, and also that it has no special and exclusive reference to this psalm, for the psalm could in no special sense be called “a prayer of David.” The words bear all the marks of having been placed at the close of a collection of psalms, or a division of the Book of Psalms, to which might be given as an appropriate designation, the title “The Prayers of David, the son of Jesse;” meaning that that book, or that division of the book, was made up of the compositions of David, and might be thus distinguished from other portions of the general collection. This would not imply that in this part of the collection there were literally no other psalms than those which had been composed by David, or that none of the psalms of David might be found in other parts of the general collection, but that this division was more entirely made up of his psalms, and that the name might therefore be given to this as his collection. It may be fairly inferred from this, that there was such a collection, or that there were, in the Book of Psalms, divisions which were early recognized. See the General Introduction. Dr. Horsley supposes, however, that this declaration, “The prayers of David the son of Jesse are ended,” pertains to this psalm alone, as if David had nothing more to pray for or to wish than what was expressed in these glowing representations of the kingdom of the Messiah, and of the happy times which would be enjoyed under his rule.