The rapid Urbanization and Industrialization all over the world has resulted in the large deposition of Plastic waste and Waste Tyre Rubber. This waste can be utilized under the proper condition to reduce the Cement content in Concrete. M 30 concrete is used for most of the constructional works. The strength of these concrete results has compared with concrete obtained of Plastic waste and Waste Tyre Rubber varying from 0% to 20%. Experimental investigations comprised of testing physical requirements of Coarse Aggregates, Fine Aggregates, Cement and the modifier Waste Plastic and Waste Tyre rubber. M 30 concrete design mix considered as per IS 10262-1982. The said percentage of modifier was blended with the cement concrete mix and the optimum modifier content was found. Cubes and Cylinders were cast and tested for 28 days strength. These tests revealed that by adding Waste plastics and rubber as a partial replacement in Fine Aggregate and Coarse aggregate by volume, the strength of concrete decreased. The cube strength decreased as the percentage replacement increased due to their poor binding properties. By using Plastic waste and Waste Tyre Rubber as a modifier, we can reduce the quantity of coarse aggregate and fine aggregate by their volume, hence be decreasing the overall cost of construction. The modified cement concrete can be used in the construction of small drainage works and rigid pavement. Effective utilization of waste plastics can be done for a good cause of protecting the global environment and effective solid waste management.