This is a study on the Shang people's marriage regulations, the resultant kinship forms, and an investigation on the related systems before and after the Shang Dynasty. The author finds that during the early and middle Shang periods, the double descent Shang people were divided into moieties and performed sister exchange or bilateral cross-cousin marriage under the matrilineal mode with prohibition of marrying siblings from the same (classificatory) mother, and thus resulted in a kinship structure of Malayan Type alias Generation Type. However, the Shang ruling class gradually married outside of the moieties under the patrilineal mode, as the Shang people became more powerful. And by the late Shang period, because of the introduction of the kin term gu姑, one that used by a female to address her mother-in-law, the Shang kinship structure changed into quasi Iroquois Type alias Bifurcate Merging Type. The Chou people succeeded the Shang people as the ruling class of China; they did not divide themselves into moieties. They performed cross-cousin marriages outside of their own people under the rule of patrilineal descent, and thus their kinship appeared to be of a regular Iroquois Type. But later the Chou people had added an extra spouse, i.e., wife's brother's daughter into their marriages, thus turned their kinship into Omaha Type, and thereby coined a skewing kin term zhi(姪), which was the lineal-equation of the Shang kin term di (弟/娣). The author's findings have certain similarities with the studies of Lewis H. Morgan's theories on kinship evolution, especially, on the Malayan Type followed by Turanian Type. Nevertheless, the author did not find the so called ”group marriage” as postulated by Morgan as accompanying the above mentioned Shang and Chou marriage and kinship systems. The author also made several observations on the bride robbery custom and on the issues of incest taboo and inbreeding avoidance before the Shang Dynasty.