Deuteronomy 21:22

“And if a man have committed a sin worthy of death, etc.] This before mentioned, or any other that deserves death, any kind of death, as strangling, killing with the sword, burning and stoning, to which the Jews restrain it here: and he be to be put to death, and thou hang him, on a tree; is condemned to stoning, and after that they hang him, as the Targum of Jonathan; and according to the Jewish Rabbins, as Jarchi observes, all that were stoned were to be hanged, and only men, not women f303; for it is remarked that it is said “him” and not “her” f304: about this there is a dispute in the Misnah f305 ; “all that are stoned are hanged, they are the words of R. Eliezer; but the wise men say…”

“if a man have committed a sin . . . and thou hang him on a tree--Hanging was not a Hebrew form of execution (gibbeting is meant), but the body was not to be left to rot or be a prey to ravenous birds; it was to be buried "that day," either because the stench in a hot climate would corrupt the air, or the spectacle of an exposed corpse bring ceremonial defilement on the land. Next: Deuteronomy Chapter 22”

“There were four methods of execution in use among the ancient Jews; stoning (Exodus 17:4; Deuteronomy 13:10, etc.), burning Leviticus 20:14; Leviticus 21:9, the sword Exodus 32:27, and strangulation. The latter, though not named in Scripture, is regarded by the rabbis as the most common, and the proper one to be adopted when no other is expressly enjoined by the Law. Suspension, whether from cross, stake, or gallows, was not used as a mode of taking life, but was sometimes added after death as an enhancement of punishment. Pharaoh’s chief baker Genesis 40:19 was hanged after being put to death by the sword; and similarly Joshua appears Joshua 10:26 to have dealt with the five kings who made…”

“On a tree - Which was done after the malefactor was put to death some other way, this publick shame being added to his former punishment. Deuteronomy 21:23”

“21:22 hung on a tree: This was not the method of execution, at least in this text. It was a shameful display of those already put to death for capital offenses, probably to show the Lord’s hatred of sin and to deter others who might commit such acts (see also Gen 40:19, 22; Josh 10:26; 2 Sam 4:12; 21:12; Esth 2:23; 7:10).”

“Jos 8:29, Jos 10:26; So in Num 25:4, we read, "And the Lord said unto Moses, Take all the heads (chief men) of the people, and hang them up before the Lord against the sun, that the fierce anger of the Lord may be turned away from Israel." Among the Romans, in after ages, they hanged, or rather fastened to the tree ALIVE; and such was the cruel death of our blessed Lord and Saviour Jesus Christ. Deu 19:6, Deu 22:26; Sa1 26:16; Mat 26:66; Act 23:29, Act 25:11, Act 25:25, Act 26:31 worthy of death: Heb. of the judgment of death, The Hebrews understand this not of putting to death by hanging, but of hanging a man up after he was stoned to death; which was done more ignominiously of some heinous…”

“Burial of those who had been Hanged. - If there was a sin upon a man, מות משׁפּט, lit., a right of death, i.e., a capital crime (cf. Deu 19:6 and Deu 22:26), and he was put to death, and they hanged him upon a tree (wood), his body was not to remain upon the wood over night, but they were to bury him on the same day upon which he as hanged; "for the hanged man is a curse of God," and they were not to defile the land which Jehovah gave for an inheritance. The hanging, not of criminals who were to be put to death, but of those who had been executed with the sword, was an intensification of the punishment of death (see at Num 25:4), inasmuch as the body was thereby exposed to peculiar kinds of…”