Rock mass relatively often show anisotropy of mechanical and physical properties. The anisotropy can be caused by arrangement of mineral grains and orientation of cracks systems. The Oligocene-Miocene carbonates of the Asmari formation are one of the most important oil reservoirs in the Zagros Basin, southwestern Iran. Indeed, relationships between seismic, mechanical properties and microstructures and effect of anisotropy on them need to be better understood. Here, we investigated relationship between p- wave velocity, point load index, physical properties and microstructure of Asmari formation in Babaheydar area in Chaharmahal va Bakhtiari province. Samples collected from two different type of rocks Which one of them is blue in color (bitumen bearing) and the other is grey. Two samples were prepared from any rock type by perpendicular and parallel to the layer by abrasive cutting water jet machine in 16-sided. P- wave velocity in different directions for each sample and anisotropy measured in both samples. Thin section prepared from sample sides that showed the minimum and maximum p- wave velocity. To measure physical properties using the immersion method and point load test was applied in perpendicular and parallel direction to the bed for both rock types. The results showed that the anisotropy in the sample parallel to bed is almost twice than the perpendicular direction for blue rock type but anisotropy was twice in perpendicular than parallel in grey rocks type. In the blue rock, point load index indicates that the strength in perpendicular direction is lesser than parallel direction. P-wave velocity in parallel direction is lesser than perpendicular direction because of perpendicular orientation of stylolite system with layering direction. In the grey rock type, point load index indicates strength in perpendicular direction is more than parallel direction but p-wave velocity in both direction almost is the same. Thin sections show that texture and fabric of both rocks are similar, and vary from micrite to microsparite containing fossils, crack, stylolite and intraclasts. On the folk (1959-1962) and Dunham (1962) classification, they are named wackestone to packstone and intra biomicrite to intra biomicrosparite.The main factor caused differences in mechanical and acoustic properties of the samples are stylolite and how it’s the alignment of the layering.