Psalm 33:22, "Let your loving kindness be on us, Yahweh, since we have hoped in you," is a powerful declaration of faith and a prayer for divine favor. Let's break down its meaning:

"Let your loving kindness be on us, Yahweh": This is a plea for God's chesed (loving-kindness, mercy, steadfast love) to be upon the speaker and their community. Chesed is a key concept in the Old Testament and represents God's loyal, faithful, and compassionate love. It's not just fleeting emotion, but a commitment to his people. The word "on us" indicates that this isn't just a general blessing, but a direct and personal application of God's chesed.

"Yahweh": This is the personal name of God in the Hebrew Bible. Using God's personal name indicates a close, intimate relationship and a reverent appeal.

"since we have hoped in you": This is the foundation for the prayer. It states that their hope and trust are placed solely in God. This isn't a claim of perfection or deservingness, but a recognition that their reliance on God is the basis for their request. They are essentially saying, "We've placed our faith in you; therefore, we ask for your loving kindness."

In summary, the verse means:

The psalmist is asking God to shower them with his steadfast love and mercy because they have placed their hope and trust in him. Their hope is not in their own strength, wisdom, or righteousness, but solely in God's character and promises. They believe that because they have faith in him, he will respond with his chesed.

The verse also implies:

Relationship with God: It reflects a relationship of trust and dependence on God.
Humility: It acknowledges that they need God's loving-kindness and cannot rely on their own merit.
Expectation: It expresses an expectation that God will hear their prayer and respond with grace.

This verse is often used as a prayer for God's blessing, a reminder of the importance of faith, and a declaration of trust in God's unfailing love.