Only 16 hemoglobin (Hb) variants carrying 2 point mutations within the same polypeptide chain have been identified up to now. Two of those are reported in this paper. In Hb Villeparisis, the beta 77 (EF1) His-->Tyr mutation is identical to that of Hb Fukuyama while the other mutation, beta 80 (EF4) Asn-->Ser, has not yet been described. These 2 abnormalities are located almost within interacting distance. They lead to decreased oxygen affinity and, according to molecular simulations, to a remodeling of the surface of the molecule. Hb Corbeil associates 2 substitutions, that of Hb E [beta 26 (B8) Glu-->Lys], and of Hb Sherwood Forest [beta 104 (G6) Arg-->Thr], which are far from one another. The resulting properties consist only in the additive effects of both abnormalities. Hb Corbeil is, thus, a thalassemic Hb, like Hb E, and a molecule having altered oxygen binding properties, characterized by decreased heterotropic effects, similar to those of Hb Sherwood Forest. The simultaneous presence of more than 1 structural abnormality leads to a large spectrum of possible consequences on the function of the molecule, from local effects to a perturbation of intermolecular interactions. The genetic mechanism resulting in Hb with more than 1 point mutation is discussed: in some cases it is very likely that the second mutation arose on a chromosome already carrying a point mutation, in contrast a single mutational event involving a micro gene conversion has been proposed in other cases.