In April 1974 Köhler took up a post-doctoral research fellowship at the Laboratory of Molecular Biology in Cambridge, UK where he began working with César Milstein to develop a laboratory tool that could help them investigate the mechanism that underlies the diversity of antibodies. It was during this work that they devised their hybridoma technique for the production of antibodies. Köhler continued his collaboration on the technique when he returned to Basel Institute of Immunology in April 1974.  Köhler remained at the Basel Institute for another nine years, during which time he continued investigating antibody diversity and in the early 1980s began working on the development of transgenic mice as a tool to understand the mechanism that underlies self-tolerance. In 1986 Köhler became director of the Max-Planck Institute of Immunobiology where he worked until his death in 1995.