Albert Barnes Commentary 1 Kings 8:25

"Now therefore, O Jehovah, the God of Israel, keep with thy servant David my father that which thou hast promised him, saying, There shall not fail thee a man in my sight to sit on the throne of Israel, if only thy children take heed to their way, to walk before me as thou hast walked before me." — 1 Kings 8:25 (ASV)

Solomon’s prayer is, perhaps, generally for the fulfillment of all the promises made to David in connection with the building of the temple. But there seems to be a special allusion in this verse to the promise recorded in Psalm 132:14.