Albert Barnes Commentary Psalms 132:13

"For Jehovah hath chosen Zion; He hath desired it for his habitation." — Psalms 132:13 (ASV)

For the Lord has chosen Zion - He has selected it as the place where he will abide; the seat of his religion. This is a new plea or argument, and shows that the psalm had reference to Zion or Jerusalem, as then in danger, or as having been in danger. See the notes at (Psalms 48:1–2).

He has desired it for his habitation - A place to abide. He had selected this as the permanent place of his worship.