Genetic colocalisation analyses are frequently conducted to determine if causal signals at a genetic locus are shared between two phenotypes. However, colocalisation is rarely undertaken at the HLA locus, due to its complex linkage disequilibrium (LD) and high polymorphism density. This lack of genetic causal inference method limits our ability to translate HLA associations into therapeutic targets. Here we present a method that uses HLA alleles, instead of nucleotide variants, to perform genetic colocalisation of two traits at HLA genes. The method, which we call HLA-colocalisation, works by controlling for LD using a Bayesian variable selection algorithm (here implemented with SuSiE), then performing Bayesian regression on the resulting posterior inclusion probabilities. We first show through simulation that the method correctly identifies truly colocalising genes. We then test the method in two positive control scenarios, showing colocalisation between hepatitis B and liver disease at HLA-DPB1, and between Epstein-Barr virus and multiple sclerosis at HLA-DRB1 and HLA-DQB1. Finally, we perform a large colocalisation scan between multiple viruses and auto-immune diseases, demonstrating that the method is well calibrated and uncovering multiple biologically plausible novel causal associations, such as cytomegalovirus and ulcerative colitis. To our knowledge, HLA-colocalisation is the first accurate genetic colocalisation method for the HLA locus (github: https://github.com/DrGBL/hlacoloc).