A process for the preparation of pharmaceutically acceptable immunoglobulin compositions from plasma-derived immunoglobulin fractions which allows the parallel preparation of immunoglobulin compositions enriched in IgG, IgM and IgA. In this process, immunoglobulin contained in Cohn fraction I/II/III or Kistler Nitschmann fraction A+I is resolubilized at conductivities of at least 1 mS/cm, and following removal of contaminating protein the resolubilized immunoglobulin is subjected to anion exchange chromatography to obtain IgG- and IgM/IgA-enriched immunoglobulin compositions. The IgG-enriched immunoglobulin composition is further subjected to treatment with a cation exchange material to obtain an immunoglobulin composition having a reduced properdin content.