A two-dimensional discrete system with chaotic and hyperchaotic characteristics has been designed and its dynamic behaviour has been analyzed, and the impulsiv e synchronization conditions have been obtained by mathematical analysis- In our experiment, impulsive synchronization of the circuit system has been realiz ed- The experimental data are in good agreement with the results of theoretical analysis and numerical calculation- In addition, the experimental results demons trate the effectiveness and robustness to noise by means of the above method-