Yes, King David invoked God. In the biblical narrative, David is known for his deeply personal and intimate relationship with Yahweh (the God of Israel). Throughout his life, as recorded in the Books of Samuel and the Psalms, he constantly engaged in prayer, praised God, and sought divine counsel before making major decisions. 

When it comes to invoking “gods,” the historical and religious context depends on how you define the term:

• The One True God (Yahweh): David frequently invoked Yahweh, crying out to Him for protection, justice, and forgiveness in moments of distress or repentance. 
• Other Deities or Beings: Some passages in the Psalms feature David speaking about “gods”. Biblical scholars debate whether this reflects the ancient cultural context where Israelites acknowledged the existence of other patron gods (monolatry), or if he was referring to heavenly beings, angels, or making poetic references to human judges and earthly idols. However, David’s personal worship and allegiance were directed exclusively to Yahweh. 

Would you like to know more about specific prayers or Psalms David wrote, or are you interested in the historical context of “other gods” mentioned in the Old Testament?