Add to My Library 
Alexander, Joseph Addeson. The Psalms: Translated and Explained. Grand Rapids: Zondervan. Reprint from the 1864 edition published in Edinburgh.
This is a good commentary. He uses some Hebrew words but do not let that turn you away. You usually can figure out which word his is discussing from the rest of the sentence.
Allen, Leslie. Psalms 101-150. Word Bible Commentary, 21. Waco: Word Books, 1983.
Anderson, A.A. The Book of Psalms. 2 vols. The New Century Bible Commentary. Grand Rapids: Wm. B. Eerdmans Publishing Company, 1972.
He provides a good treatment of the Psalms as a whole. The introduction comments in a helpful way on the types of psalms and Hebrew parallelism. He does lean toward a cultic approach so read with caution.
Anderson, Bernhard W. Out of the Depths: The Psalms Speak for Us Today. Philadelphia: Westminster Press, 1974.
This work is liberal in many of its presuppositions, but it is still valuable in terms of its discussion of forms. Just be careful not to accept all that it says concerning culture and chronology.
Calvin, John. Commentary on the Book of Psalms. Translated by James Anderson. Volumes 1-3. Grand Rapids: Wm. B. Eerdmans Publishing Company, 1949.
Craigie, Peter C. Psalms 1-50. Word Biblical Commentary, 19. Waco: Word Books, Publisher, 1983.
Delitzsch, Franz. “Psalms.” in vol. 5: Psalms. Three volumes in one. Translated by Francis Bolton. Commentary on the Old Testament. 10 vols. N.p.; reprint ed., Grand Rapids; Wm. B. Eerdmans Publishing Co., 1982.
This classic is part of a ten volume set and thus not available as an individual volume. Nevertheless, it is helpful in its extensive discussion of each Psalm. The Hebrew text is referred to, but not to the degree that it would not be a useful source for the one without Hebrew.
Gesenius’ Hebrew Grammar. Second Edition. Edited and Enlarged by E. Kautzsch. Translated by A. E. Cowley. Oxford: At the Clarendon Press, 1910.
Gunkel, Hermann. The Psalms: A Form-Critical Introduction. Translated by Thomas M. Horner. Philadelphia: Fortress Press, 1967.
Jacquet, Louis. Les Psaumes et le coeur de l’Homme. Etude testuelle, litteraire et doctrinale. 3 Vols. Imprime en Belgique sur les presses. Ducolot, 1975.
Keel, Othmar. The Symbolism of the Biblical World: Ancient Near Eastern Iconography and the Book of Psalms. Translated by Timothy J. Hallett. New York: The Seabury Press, 1978.
Kidner, Derek. Psalms 1--72: An Introduction and Commentary on Books I and II of the Psalms. The Tyndale Old Testament Commentaries. Downers Grove: Inter-Varsity Press, 1973.
________. Psalms 73-150: A Commentary on Books III-V of the Psalms. The Tyndale Old Testament Commentaries. Downers Grove: Inter-Varsity Press, 1975.
Both of these works are written by Derek Kidner, an excellent, Old Testament scholar from Cambridge, England. Volume one has a good introductory section for background questions, and each volume has a brief but helpful discussion of each Psalm. This will be a good reference tool for your future studies in Psalms.
Kirkpatrick, A. F. The Book of Psalms. 3 Vols. The Cambridge Bible for Schools and Colleges. Cambridge: At the University Press, 1906. Reprinted by Baker in one volume.
Excellent theological treatment of the Psalms.
Lewis, C. S. Reflections on the Psalms. New York: Harcourt, Brace and World, Inc., 1958.
Longman, Tremper, III. How to Read the Psalms. Downers Grove, Ill: InterVarsity Press, 1988.
McGee, J. Vernon. Psalms. Three volumes. Pasadena: Thru the Bible Books, 1977.
These three volumes are a commentary on the Psalms. They are not too technical. They are devotional and enjoyable to read.
Perowne, J.J. Stewart. The Book of Psalms. 2 vols. Grand Rapids: Zondervan Publishing company, reprint of 1878 edition.
Although Perowne does deal with technical issues like textual problems and the Hebrew text, he is also helpful in providing neat summaries of the psalms’ messages as well as helpful Rabbinic and Christian interpretations.
Ross, Allen P. “Psalms” In The Bible Knowledge Commentary: An Exposition of the Scriptures by Dallas Seminary Faculty: Old Testament. Edited by John F. Walvoord and Roy B. Zuck. Wheaton: Victor Books, 1985.
This commentary is a must to purchase some day, not only for Psalms, but to have a good, evangelical, one-volume commentary on all of the Old Testament. Ross is especially helpful in his introduction to the book and his synthetic discussion of each Psalm. He deals with their message as well as many of the significant figures of speech. This work, with Ross’ commentary on “Genesis” is well worth the price of the book alone.
Sabourin, Leopold. The Psalms: Their Origin and Meaning. New York: Alba House, 1974.
Tate, Marvin, E. Psalms 51--100. Word Biblical Commentary, 20. Dallas: Word Books, Publishers, 1990.
Wiersbe, Warren W. Meet Yourself in the Psalms. Wheaton, Ill: SP Publications, Victor Books, 1983.
Gerald Wilson, The Editing of the Hebrew Psalter. Chico: Scholars Press, 1985.
Martin, Chalmers. “The Imprecations in the Psalms.” The Princeton Theological Review. 1 (1903): 537-533.
Waltke, Bruce. “The Book of Proverbs and Ancient Wisdom Literature.” Bibliotheca Sacra 136 (1979): 221-238.
________. “The Book of Proverbs and Old Testament Theology.” Bibliotheca Sacra 136 (1979): 302-317.
________. “The Creation Account in Genesis 1:1-3: Part IV: The Theology of Genesis 1. Bibliotheca Sacra 132 (1975): 327-342.
________. “The Creation Account in Genesis 1:1-3: Part V: The Theology of Genesis 1--Continued.” Bibliotheca Sacra 133 (1976): 28-41.
Walton, John H. “The Psalms: A Cantata About the Davidic Covenant.” Journal of the Evangelical Theological Society 34 (1991): 21-32.
Wilson, Gerald. “Evidence of Editorial Divisions in the Hebrew Psalter.” Vetus Testamentum 34 (1984): 337-352.
________. “The Use of Royal Psalms at the ‘Seams’ of the Hebrew Psalter.” Journal for the Study of the Old Testament 35 (1986): 85-94.
Lindsey F. Duane. “The Psalms Arranged by Categories.” Unpublished class notes in 104 Principles of Hebrew Exegesis. Dallas Theological Seminary, Spring 1982.
Ross, Allen P. “An Outline for the Theology of the Hebrew Psalter.” Unpublished class notes in 104 Principles of Hebrew Exegesis. Dallas Theological Seminary, Spring 1982.
________. “Exegetical Outlines of the Psalms with Supplementary Structural Outlines by Pius Drijvers (The Psalms, Their Structure and Meaning).” Unpublished class notes in 104 Principles of Hebrew Exegesis. Dallas Theological Seminary, Spring 1982.
________. “The Exposition of the Old Testament: The Psalms: A Lecture on the Exegetical Procedure for Preaching from the Psalter.” Unpublished class notes in 104 Principles of Hebrew Exegesis. Dallas Theological Seminary, Spring 1982.
________. “Understanding Poetic Language.” Unpublished class notes in 104 Principles of Hebrew Exegesis. Dallas Theological Seminary, Spring 1982.
Waltke, Bruce K. “Notes on the Book of Psalms.” Unpublished class notes in 104 Principles of Hebrew Exegesis. Dallas Theological Seminary, Spring 1982.