Shared ground
Psalm 145 ends with a closing line that gathers the whole song into one last summary. The speaker commits to ongoing, spoken praise (“my mouth will speak the praise of Yahweh”), and then widens the horizon to a universal scope (“let all flesh bless his holy name”). Both parts treat praise as public and voiced, not only private feeling.
The verse also links God’s “name” with holiness. “Holy” marks God as set apart and worthy of unique reverence. The closing phrase “forever and ever” frames this praise as enduring—without an endpoint.
Where interpretation differs
Two main questions come up.
First, “all flesh” can be read as all humanity (all living people), or more broadly as every living creature. Both readings stress wideness; the difference is whether the verse is mainly a human call to worship or a creation-wide vision.
Second, “forever and ever” can be taken as a straightforward time claim (praise continuing without end), or as a poetic/assembled worship phrase that highlights permanence and fittingness rather than mapping a timeline in detail.
Why the disagreement exists
The Hebrew wording for “flesh” can point to human beings in their shared creaturely life, but it can also be used more generally for living beings. Likewise, “forever and ever” is common praise-language, and readers differ on how literally to press its time reference in a poetic conclusion.
What this passage clearly contributes
Explicitly, the verse (1) presents the psalmist’s personal commitment to keep praising Yahweh, (2) turns that praise outward into a summons that includes “all flesh,” (3) identifies God’s name as “holy,” and (4) portrays praise as fitting for an unending future. As an inference from that, the ending portrays Israel’s praise of Yahweh as not meant to stay private or local, but as something envisioned on the widest possible human (and possibly creation-wide) scale, matching the psalm’s overall movement from personal praise to universal praise Psalm 145:1.