As a result of the deployment of UV missile warning systems, recent years have seen an increasing interest in threat assessment in the UV band. Unfortunately, due to the different nature of the physical processes that are needed to describe a missile signature in the UV, available codes for the IR can not be applied. As a result, the development of a UV missile plume signature model was initiated. This paper presents a model for the prediction of UV missile plume signatures, that takes into account relevant physical mechanisms in a missile plume. The model is based on first principles, predicting the radiance from CO-O chemiluminescence and hot particles in the plume, which are the dominant sources of radiation in the UV wavelength band considered. Scattering of radiation on particles in the plume can be important for particle-rich propellants and is accounted for in the code. The multiple scattering algorithm has been set up to handle any number of directions in an axi-symmetric medium; the algorithm presents a novel way of solving the radiative transfer problem. Several examples are shown, to illustrate scattering processes in missile plumes. A number of validation tests are presented to show the model's performance. At this stage, comparisons with real data are under progress.