In this research work is to study the Durability characteristics of basalt fiber reinforced concrete with addition of polymer under acid environment with various percentage as 0% to 3% with increment of 0.5% by weight of cementations material and 1% of basalt fiber with 12mm length of basalt fiber is throughout random mix constant in concrete. Durability properties were studied on Compressive, split tensile, flexural, shear and impact strength for M30 grade concrete under effect of acidic condition. Specimens were prepared and normal curing for 28 day is adopted. After that all specimens’ were kept in acid media at 180days with pH was maintained to be 2.5. Workability decreases with increases the polymer content. The performance of BFRPC was found better than the control concrete. The increases in compressive strength is 40Mpa for 1.5% of Polymer, Split Tensile, Flexural and Shear strength are 4Mpa, 8.46MPa, 20.00Mpa for 2% of Polymer respectively and Impact Strength for 2% of polymer first Crack appears 809.16N-m and Final crack is 926.74. Under the acid media the durability properties of basalt fiber reinforced concrete with addition of polymer are better strength properties with respect to reference concrete.