The peace offering (called shelem in Hebrew) showed worship through fellowship with the Lord and others. The word comes from the same root as shalom, which means wholeness, well-being, harmony, and peace.
Shalom is more than just ending conflict between God and the worshiper. It means a bond of harmonious fellowship. The peace offering was a shared meal celebrating fellowship with God and others (compare Exodus 18:12; 24:9–11; 1 Samuel 9:15–24). They could offer it as thanks (Leviticus 7:12–15), as a voluntary offering, or to fulfill a vow (7:16–18; 22:21).
Peace offerings often came after whole burnt offerings (for example, 1 Kings 9:25). This showed that fellowship with God follows atonement. When we experience atonement through Christ, we can be at peace with God and each other (see Acts 2:42; 10:36; Romans 5:1; 1 Corinthians 10:16; 11:17–34; 2 Corinthians 5:18–21).