Plasmonic materials and phenomena are widely studied and applied in multiple fields for an extended time. One among the foremost promising applications is within the engineering of biosensor devices, Diseases of the red blood cells are among the diseases of the blood. Anemia as an example is an abnormal reduction within the concentration of hemoglobin within the blood. When the amount of red blood cells decreases, so does the concentration of hemoglobin. The tissues and organs not receive sufficient oxygen to work normally. This numerical study will give a contribution or approach on the behavior of blood with surface plasmons resonance SPR by analyzing the performance of SPR with any changes in hemoglobin concentrations (refractive index) for the application of technique in the detection of blood diseases.