The name, “God of my salvation” is part of a collection of names of God using related Hebrew words (it includes similar names like “God of our salvation”). Depending on who is speaking, the names have different forms. So, often King David spoke of the God of my salvation but sometimes the psalmist spoke from the point of view of the nation and called Him “God of our salvation.”
God of my salvation in Hebrew:
Strong’s Concordance numbers: 430, 3444
Bible reference: Ps. 88:1
O lord God of my salvation, I have cried day and night before thee. (Psalm 88:1 KJV)
The NIV calls Him the “God who saves me” in this verse.
Strong’s Concordance numbers: 430, 3468
Bible references: 1 Chron. 16:35 (our); Pss. 18:46; 24:5 (his); 25:5; 27:9; 65:5 (our); 79:9 (our); 85:4 (our); Isa. 17:10 (your); Mic. 7:7; Hab. 3:18.
The Lord liveth; and blessed be my rock; and let the God of my salvation be exalted. (Psalm 18:46 KJV)
Strong’s Concordance numbers: 430, 8668
Bible reference: Ps. 51:14
Deliver me from bloodguiltiness, O God, thou God of my salvation: and my tongue shall sing aloud of thy righteousness. (Psalm 51:14)
The NIV has “God my Savior” in this verse.
God who is our salvation in Hebrew:
Strong’s Concordance numbers: 410, 3444
Bible reference: Ps. 68:19
Blessed be the Lord, who daily bears our burden,
The God who is our salvation. Selah.
God is to us a God of deliverances;
And to God the Lord belong escapes from death. (Psalm 68:19-20)
The NIV calls Him “God our Savior” in this verse.
Similar names for God are: My Salvation, God who is our salvation, Lord, my salvation, Horn of my salvation, Rock of my salvation. In the New Testament Simeon called the baby Jesus (Yeshua‘), “Your salvation.”