Hyper acute rejection (HAR) occurs 48 h immediately after transplantation. HAR is caused by cytotoxic antibody against donor’s HLA or ABO antigen. Its symptoms include high fever, edema, complement activation, and blood coagulation. Blood coagulation is also caused by bleeding from endothelial cells, and its symptoms are heart attack, stroke, pulmonary embolism, and thrombosis. In blood vessel, blood clot (thrombus) formation induces endothelial cell injury and abnormal blood stream. During HAR, antibody-mediated rejection (AMR) occurs by donor antigen-induced Abs, which were directed against ABO antigenic carbohydrates, donor-specific molecule HLA proteins, antigens of endothelial cells, or surfaced antigens on pig cells. Despite technology development, there are still obstacles and hurdles of HAR and cellular xenogeneic rejection (CXR). First, as a representative xenoantigen, GGTA1 (α1,3-galactosyltransferase) generates a major α1,3-Gal epitope as xenoantigen. Its synthesized α1,3-Gal residue-linked epitopes are present on surfaces of most mammal cells in synthetic mechanism of the donor substrates α1,3-Gal+Galβ1,4GlcNAc (N-acetyllactosamine; LacNAc) to yield Galα1,3Galβ1,4GlcNAc-R carbohydrate structures, known as α1,3-Gal antigenic epitope. For specific aspects of α1,3-Gal epitope, first, the α1,3-Gal antigenic epitope is not existed in humans and several species including Old World monkeys and apes, indicating that α1,3-Gal epitope is a major xenoantigen. Second, cytidine monophosphate (CMP)-N-acetylneuraminic acid (NeuAc) hydroxylase (CMAH) hydroxylates sialic acid Z(Sia), Neu5Ac. The CMAH gene is widely expressed in endothelial cells of mammals, except highly evolved species, humans. Neu5Gc is one of non-Gal xenoantigens. Third, β4GalNT2 (β1,4N-acetylgalactosaminyl transferase) synthesizes the Sia-α2,3-(GalNAc-β1,4)Gal-β1,4-GlcNAc structure known as Sd(a) antigen, transferring a donor substrate of β1,4-GalNAc residue to the Gal residue of an α2,3-sialylglycan structure. Sd(a) is one of non-α1,3Gal xenoantigens (Fig. 10.1). Fourth, human HLA-compatible swine leukocyte antigen (SLA) is a swine type MHC protein, which is highly polymorphic. SLA of pigs, like HLA of humans, is directly associated with the immune responses of pigs to microbial and viral infections as well as vaccinations.