6 And if his offering for a sacrifice of peace-offering to Jehovah be of small cattle, male or female, he shall present it without blemish. 7 If he present a sheep for his offering, then shall he present it before Jehovah, 8 and shall lay his hand on the head of his offering, and slaughter it before the tent of meeting; and Aaron's sons shall sprinkle the blood thereof upon the altar round about. 9 And he shall present of the sacrifice of peace-offering an offering by fire to Jehovah; the fat thereof, the whole fat tail, which he shall take off close by the backbone, and the fat that covereth the inwards, and all the fat that is on the inwards, 10 and the two kidneys, and the fat that is on them, which is by the flanks, and the net above the liver which he shall take away as far as the kidneys; 11 and the priest shall burn it on the altar: [it is] the food of the offering by fire to Jehovah. 12 And if his offering be a goat, then he shall present it before Jehovah. 13 And he shall lay his hand on the head of it, and slaughter it before the tent of meeting; and the sons of Aaron shall sprinkle the blood thereof on the altar round about. 14 And he shall present thereof his offering, an offering by fire to Jehovah; the fat that covereth the inwards and all the fat that is on the inwards, 15 and the two kidneys, and the fat that is on them, which is by the flanks, and the net above the liver which he shall take away as far as the kidneys; 16 and the priest shall burn them on the altar: [it is] the food of the offering by fire for a sweet odour. All the fat [shall be] Jehovah's. 17 [It is] an everlasting statute for your generations throughout all your dwellings: no fat and no blood shall ye eat.

Matthew Henry's Commentary on Leviticus 3:6-17

Commentary on Leviticus 3:6-17

(Read Leviticus 3:6-17)

Here is a law that they should eat neither fat nor blood. As for the fat, it means the fat of the inwards, the suet. The blood was forbidden for the same reason; because it was God's part of every sacrifice. God would not permit the blood that made atonement to be used as a common thing, Hebrews 10:29; nor will he allow us, though we have the comfort of the atonement made, to claim for ourselves any share in the honour of making it. This taught the Jews to observe distinction between common and sacred things; it kept them separate from idolaters. It would impress them more deeply with the belief of some important mystery in the shedding of the blood and the burning the fat of their solemn sacrifices. Christ, as the Prince of peace, "made peace with the blood of his cross." Through him the believer is reconciled to God; and having the peace of God in his heart, he is disposed to follow peace with all men. May the Lord multiply grace, mercy, and peace, to all who desire to bear the Christian character.