We present a new method for the fine scale mapping of disease loci based on samples of simplex families, each containing an affected child. The method is based on a generalisation of a single locus allele transmission model to multiple marker loci. The model is developed under the assumption of a single ancestral mutation and allows for the calculation of posterior probabilities that each allele at a particular marker was present on the founder chromosome. We illustrate the method using simulated family data for cystic fibrosis and Huntingtons disease, for which the locations of mutations in the disease genes are now known. For both diseases, our new method provides good estimates of the location of the mutations.