Study of the symbolic meaning of the offerings in Leviticus has been hampered by the fact that the text rarely spells out the significance of the rituals or rites. This study proposes an approach to the text of Leviticus that, taking the peace offering as an example, investigates the motive of the offerer. On the basis of explicit references in Leviticus 7:12 and 7:16 to three kinds of motive it is argued that Leviticus 3 has the purpose of turning the Israelites to the Lord, and that the shedding of blood symbolises the atonement for general sinfulness. This leads to the conclusion that the motive or purpose of an offerer and the ritual are inseparable, and that the prescriptive text of Leviticus 3 itself assumes that the inner motive of an offerer must be expressed outwardly in making a peace offering.