Multi core system has become a popular execution platform for many real time systems. The system is continue to shrink down due to thermal hotspots and temperature gradients, which are significantly impact system parameters like reliability, performance, cost and leakage power to improve these parameters in real time systems/multi core system a Temperature Prediction Management (TPM) technique is required for mission/safety critical application running on a multi core chip to avoid possible thermal hazards while meeting the application timing constraints.