The present study offers a numerical cross-shore wave-mud interaction model that can be used to predict fluid mud thickness and irregular wave transformation along soft mud profiles. The rheological constitutive equations of visco-elastic (VE) material are adopted for the behavior of fluid mud layer under the wave action. Extending an analytical model of fluidization to irregular waves, the fluidized depth of mud layer under overlaying wave action is determined. Spectral calculation method is used for the simulation of irregular wave transformation. The capability of the model to predict the fluidized depth and the wave height transformation along muddy profiles is also examined.