Considering the policy of energy consumption reduction and pollution reduction, according to the fact that generation right trade has directions, a multi-task principal-agent based coordinative equilibrium model between exchange center and generation right agent(GRA) is built. From the two aspects that the power transfer task and the energy saving and pollution reduction task are inter-independent and inter-substitutable, the incentive intensity, the threshed incentive intensity and effort levels of GRA are analyzed, and the profits of GRA and exchange center with multi-task incentive and single power transfer task incentive are compared. The numerical results show that the multi-task coordinative incentive mechanism designed can encourage GRA to complete power transfer task with low energy consumption and pollution discharge, and improve and distribute the efforts of two tasks more reasonably, thus realizes the Pareto improvement of profits between two transaction sides to further increase the energy comprehensive utilization.