This paper presents the most recent literature about Equilibrium Search Models with wage posting. Starting with the basic Burdett and Mortensen (1998) model, I describe the main consequences of departing from its two main assumptions: random matching and a linear production function. I show how the specific modeling of either the production or the matching technology can affect the results regarding the distribution function of offered wages. The main empirical results from the structural estimations of these models are also introduced and discussed.