It's an interesting thing that when we read the book of Psalms we assume the author to be King David. Did you know that out of the 150 Psalms in the bible only 73 carry his authorship.
Which Psalms did King David Write? The following Psalms are known Psalms of David:
Psalms 3–9
Psalms 11–41
Psalms 51–65
Psalms 68–70
Psalm 86
Psalm 101
Psalm 103
Psalms 108–110
Psalm 122
Psalm 124
Psalm 131
Psalm 133
Psalms 138–145
You can go to our Bible page here to look them up :-)