Pregnancies resulting in very small or very large babies are at higher risk of obstetric complications with increased morbidity for both mother and baby. Using data from the Medical Birth Registry of Norway we have shown how human birth weight is still subject to stabilizing selection. Particular combinations of maternal/fetal immune genes have been implicated in pregnancies resulting in a low birth weight baby (<5th birth weight centile). More specifically, an inhibitory maternal KIRAA genotype with a paternally derived fetal HLA-C2 ligand. At the other end of the birth weight spectrum the presence of an activating maternal KIR2DS1 gene is associated with increased birth weight in linear or logistic regression analyses of all pregnancies >5th centile (p=0.005, OR=2.65). Thus, inhibitory maternal KIR combined with fetal HLA-C2 is more frequently associated with low birth weight, whereas activating maternal KIR with fetal HLA-C2 ligand is associated with increasing birth weight. Our findings using the MoBa cohort have replicated the association of KIR and HLA-C seen in poor placentation, and confirm the importance of maternal/fetal immune gene interactions in determining the outcome of pregnancy.