A hypogammaglobulinemia that is results in insufficient production of antibodies needed to respond to exposure of pathogens and is characterized by low Ig levels with phenotypically normal B cells that can proliferate but do not develop into Ig-producing cells. Patients with common variable immunodeficiency have marked reduction in serum levels of both immunoglobulin G (IgG) and immunoglobulin A (IgA); about half of these patients also have reduced immunoglobulin M (IgM). (Human Disease Ontology, DOID_12177)