The name Salem is of Hebrew and Arabic origin. The Hebrew name derives from the word “shalom,” meaning “peace” or “peaceful.” The Arabic version derives from the name Salim, meaning “complete,” “perfect,” or “safe.”

Psalm 76 (like 46, 47, 48 and 75) is about what happened in this war. It tells us that God did not let the enemy destroy Jerusalem. In the psalm, there are two other names for Jerusalem: Salem and Zion, verse 2. “Salem” means “peace” (or no fighting); Zion is the name of the hill where the Israelites built their temple. Psalm 76, like others in the original third division of the Psalms, references the tabernacle (sanctuary) in Jerusalem where God is worshipped. God is known in Judah; His name is great in Israel. And His tabernacle is in Salem (Jerusalem), and His dwelling place in Zion.
Psalm 76:1-12 NIV:
(For the director of music. With stringed instruments. A psalm of Asaph. A song.)
God is renowned in Judah; in Israel his name is great. His tent is in Salem, his dwelling place in Zion. There he broke the flashing arrows, the shields and the swords, the weapons of war. You are radiant with light, more majestic than mountains rich with game. The valiant lie plundered; they sleep their last sleep; not one of the warriors can lift his hands. At your rebuke, God of Jacob, both horse and chariot lie still. It is you alone who are to be feared. Who can stand before you when you are angry? From heaven you pronounced judgment, and the land feared and was quiet, when you, God, rose up to judge, to save all the afflicted of the land. Surely your wrath against mankind brings you praise, and the survivors of your wrath are restrained. Make vows to the Lord your God and fulfill them; let all the neighboring lands bring gifts to the One to be feared. He breaks the spirit of rulers; he is feared by the kings of the earth.