Albert Barnes Commentary Psalms 66:13

"I will come into thy house with burnt-offerings; I will pay thee my vows," — Psalms 66:13 (ASV)

I will go into thy house with burnt offerings - To your temple - the place of worship. This is language designed to represent the feelings and the purpose of the people. If the psalm was composed on occasion of the return from the Babylonian captivity, it means that, as their first act, the people would go to the house of God, and acknowledge his goodness to them, and render him praise. On the word burnt offerings, see the notes at (Isaiah 1:11).

I will pay thee my vows - I will keep the solemn promises which I had made; that is, the promises which the people had made in the long period of their captivity. On the word vows, see the notes at (Psalms 22:25).