John Gill Commentary Psalms 7:17

"I will give thanks unto Jehovah according to his righteousness, And will sing praise to the name of Jehovah Most High." — Psalms 7:17 (ASV)

I will praise the Lord according to his righteousness
Or on account of it, as it was displayed in vindicating the innocent, and punishing the wicked; so Pharaoh having ordered male infants of the Hebrews to be drowned, and he himself and his host in righteous judgment being drowned in the Red sea; Moses and the children of Israel sung a song, as the psalmist here;

and will sing praise to the name of the Lord most high ;
whose name is Jehovah, and is the most High over all the earth; and who had now, according to the psalmist's request, (Psalms 7:6Psalms 7:7) ; arose and lifted up himself, and returned on high, and had shown himself to be above all David's enemies, and had sat on the throne judging right.