Noun. 1. hereditary disease-a disease or disorder that is inherited genetically. congenital disease, genetic abnormality, genetic defect, genetic disease, genetic disorder, hereditary condition, inherited disease, inherited disorder. disease-an impairment of health or a condition of abnormal functioning.monogenic disease, monogenic disorder-an inherited disease controlled by a single pair of genes.ongenital disease, genetic abnormality, genetic defect, genetic disease, genetic disorder, hereditary condition, inherited disease, inherited disorder. disease-an impairment of health or a condition of abnormal functioning. monogenic disease, monogenic disorder-an inherited disease controlled by a single pair of genes.