Shared ground
These verses portray God as an active ruler who answers his people through deeds that inspire awe and are described as “righteous” (v. 5). The language then widens from “us” to the world: God is “the hope of all the ends of the earth” and even those “far away on the sea” (v. 5).
God’s power is pictured in creation and control: he establishes the mountains (v. 6) and quiets what seems uncontrollable—both the roar of the sea and the turmoil of nations (v. 7). The parallel between storms and political uproar suggests a single theme: God can restrain loud, threatening chaos in both nature and human society.
Where interpretation differs
One difference is how to hear “awesome deeds of righteousness” (v. 5). Some read it mainly as God’s saving help for his people (deliverance that proves he is right and reliable). Others think it can also include acts that are frightening because they are judgment against oppressors, still counted as “righteous” because they set things right.
Another difference is whether the sea and nations language is mostly literal or mostly symbolic (vv. 6–7). Some take it as describing real control over weather and geopolitical upheaval. Others emphasize the poetic use of sea-storm imagery to talk about any kind of threat, with “nations” standing for human conflict more generally.
Why the disagreement exists
The Hebrew wording can carry a range from “wondrous” to “fearful” in describing God’s deeds, and “righteousness” can point to moral rightness or faithful reliability. Also, the psalm uses strong poetic parallels (sea roar / nations’ tumult), which can be read as two separate arenas God governs, or as one image explaining the other.
What this passage clearly contributes
Explicitly, the text claims God answers his people with awe-producing right deeds, is addressed as “God of our salvation,” and is presented as hope for people far beyond Israel (v. 5). It also claims God’s strength stabilizes creation (mountains) and restrains chaos in both nature (seas) and human society (nations) (vv. 6–7). The passage contributes a unified picture of God’s power that reaches from worship in Israel to the edges of the earth, including threatening forces humans cannot tame on their own (Psalm 65:5–7).