A Surface Plasmon Resonance (SPR) based biosensor utilizing copper and BaTiO3 with addition layer coating of graphene and Black Phosphorous(BP) structures in kretschmann configuration for the detection of biomolecules event is analysed and optimized numerically using transfer matrix method. The strategy consist of placing the sensing medium on the top of BP-graphene which enhance the sensitivity and reduced the FWHM. The proposed sensor exhibits a maximum sensitivity around 372deg/RIU, FWHM of reflectance spectrum as low as 3.05deg, high detection accuracy(0.327/deg) and quality factor(121.96/RIU). such an enhanced performance would make the design to have more application in the field of biosensor.