Albert Barnes Commentary Psalms 147:3

"He healeth the broken in heart, And bindeth up their wounds." — Psalms 147:3 (ASV)

He heals the broken in heart - Referring primarily to the fact that he had healed those who were crushed and broken in their long captivity, and that he had given them comfort by returning them to their native land. At the same time, however, the language is made general, as describing a characteristic of God that he does this; that it is his character to do this. See the notes at (Psalms 34:18). See also (Psalms 51:17). Compare (Isaiah 61:1); (Luke 4:18).

And binds up their wounds - See the notes at (Isaiah 1:6). Margin, griefs. The word refers to those who are afflicted with griefs and troubles. The reference is to mental sorrows; to a troubled spirit; to a heart made sad in any way. God has provided healing for such; on such he bestows peace.