A wave offering was a portion of a sacrifice ceremonially waved before the Lord. In peace offerings, the breast was waved and then eaten by the worshipper, while the right shoulder was raised and reserved for the priest.
The rite accompanied peace offerings, which represented a ratified covenant and communion between God and man. The waving signified solemn presentation to God before the designated portion was eaten.
Wave offerings belonged to the sacrificial system and were closely associated with the complementary rite of heaving or raising an offering.