With the advancement of the dual-carbon process, integrated demand response has become one of the effective ways to solve the problem of low energy utilization efficiency and the difficult consumption of renewable clean energy. It is necessary to accurately evaluate the response value of integrated energy equipment in the integrated energy system to improve the operation control level of the system. In response to this, a comprehensive method for quantifying the value of the response of integrated energy devices based on Sobol' global sensitivity analysis has been proposed. This method can quantify their global sensitivity to the system when various influencing factors change simultaneously. Taking the minimum total operating cost as the objective function and considering multiple types of demand response, the integrated energy system generalization optimization model is established, and the integrated energy system generalization optimization model proxy model based on particle swarm optimization and backpropagation neural network is constructed. The responsive value index including cost, user satisfaction, comprehensive energy utilization rate and electric energy substitution rate are defined. Based on Sobol's global sensitivity theory, a multi-dimensional responsive value quantization method of integrated energy equipment with efficiency deviation is established to identify the key equipment that affects the system state. Through the simulation of a business park in Jiangsu Province, the first order sensitivity and total sensitivity of efficiency deviation of each integrated energy equipment are obtained, the multi-dimensional value of the integrated energy equipment is analyzed, and the effectiveness of the proposed method is verified.