Albert Barnes Commentary 1 Kings 11:38

"And it shall be, if thou wilt hearken unto all that I command thee, and wilt walk in my ways, and do that which is right in mine eyes, to keep my statutes and my commandments, as David my servant did; that I will be with thee, and will build thee a sure house, as I built for David, and will give Israel unto thee." — 1 Kings 11:38 (ASV)

See the marginal references. To “build a sure house,” or “give a house,” means to provide a continuous line of descendants, thus securing the family’s permanence. The promise, we should note, was conditional. Because the condition was not fulfilled, it did not take effect (see 1 Kings 14:8–14). The entire house of Jeroboam was destroyed by Baasha (1 Kings 15:29).