Most likely author: King David.

Why this is the typical evangelical conclusion
– The superscription at the head of Psalm 62 identifies it as “a Psalm of David” (Hebrew: le-David). Evangelical readers generally accept the psalm headings as part of the inspired text and therefore take Davidic ascriptions seriously.
– The heading also names Jeduthun (a chief Levite musician—see 1 Chronicles 16:41; 25:3), indicating the psalm was used in temple worship under David’s musical leadership.
– The themes and language (trust in God as rock and refuge, the contrast between God and unreliable human power/wealth) fit well with David’s life experiences (persecution by Saul, political threats, exile and restoration) and with many other psalms traditionally attributed to him.

Who David was (briefly)
– Shepherd, poet, warrior, and Israel’s second king; described in Scripture as “a man after God’s own heart” (1 Samuel 13:14; Acts 13:22).
– He composed many of the psalms that express personal dependence on God, prayers for deliverance, and theological reflections on God’s character. Evangelicals view David as both a historical author and an instrument of inspired worship.

A short note on Psalm 62:7
– A common translation (NIV): “My salvation and my honor depend on God; he is my mighty rock, my refuge.”
– The verse emphasizes that salvation, dignity, and security come from God alone; God is pictured as a rock and refuge—images found elsewhere in Davidic psalms (e.g., Psalm 18:2).
– Evangelical application: trust God in adversity rather than in riches or human might; live in quiet confidence and devotion to Him (themes the psalm develops).

Scholarly caution (from an evangelical stance)
– Some critical scholars question the historicity of all psalm headings or propose later editorial activity. Many evangelicals nonetheless regard the ascriptions as reliable and the psalms as God-breathed, whether David wrote every word personally or inspired him (and perhaps his circle) to compose and arrange the material.

If you want, I can give a short verse-by-verse devotional reflection on Psalm 62 or some New Testament cross-references that tie the psalm’s themes into Christian doctrine.