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In this paper, we use jointly a model of narrow band interference and a congestion model to model and implement an interference simulator for the whole HF band. The result is a model to generate interfering signals that could be found in a given frequency allocation, at a given time (past, present, or future) and for a given location. Our model does not require measurements and it is characterized by its ease of use and the freedom it offers to choose scene (modulation, location, week, year, etc.). In addition, we have defined a generic modulating function and the conditions to model a “contact” continuous wave (CW)-Morse, which meets the usual standards of contest. Consequently, our interference model in conjunction with the CW-Morse modulating function designed results in a specific CW-Morse model for amateur contests. As an example of the simulation model, we simulate the CW-Morse communications on the contest “ARRL Field Day 2011".