A model for the prediction of combustion-generated noise in non-premixed flames has been developed. This model is based on Lighthill's acoustic analogy and employs the flamelet/progress variable model to express the so-called excess density as function of the mixture fraction and the progress variable. The source terms appearing in this formulation have been analyzed and three sources have been identified as main contributors to the acoustic pressure observed at the far-field. The model has been applied in the numerical simulation of the acoustic pressure generated in a non-premixed turbulent open flame. For the prediction of the flow field a low Mach number large-eddy simulation has been performed. The relevant acoustic sources are extracted from the large-eddy simulation and are used for the prediction of the far-field pressure. Numerical results for the sound pressure level are in agreement with experimental data in the low frequency range but over-predict the measured spectra at higher frequencies.