Evaporites include wide range of chemical deposits, which are precipitated in surface or near surface, from the concentrated brine by evaporation. Diagenetic processes are important factors can effect on reservoir quality. The Oligo-Miocene Asmari reservoir comprise of siliciclastic and carbonate sequences in the Mansouri Oil Field and reservoir quality of these rocks are affected by diagenetic processes during the time. One of the most important processes is anhydrite cement, which spread as layer, poikilotopic, pores filler and pervasive, early nodular, nodular- burial, scattered crystals, fracture and vein filler in the reservoir. Spread of anhydrite cement has a negative impact on the reservoir quality. On the other hand, the higher solubility of anhydrite cement than carbonate cement can have a positive effect on the reservoir quality. The Interplay of digenetic processes and anhydrite texture is visible in increasing or decreasing of characteristics of the Asmari reservoir. The result of this study shows that anhydrite (during diagenesis) as a cement with poikilotopic fabric and pervasive texture of porosity filler has the most important role in reduction of reservoir quality, but the processes such as dissolution has the main role in increasing of reservoir quality of the Asmari Formation in the Mansouri Oil Field.