The invention discloses an electrostatic cooperative pollutant removing method and device. The method comprises the following steps: firstly, conveying exhaust gas to an electrostatic dust collector for dust removal in advance, thus removing more than 90% of particles in the exhaust gas; secondly, generating low-temperature plasmas by a low-temperature plasma generating system, oxidizing and degrading pollutants in the exhaust gas subjected to dust removal in advance; thirdly, sucking or adsorbing the exhaust gas processed in the second step with a calcium oxide powder spraying method; fourthly, conveying the exhaust gas processed in the third step and used calcium oxide powder to a high-frequency impulse power supply electrostatic dust collector. The device is simple in system, compact in structure, high in pollutant removal efficiency, little in equipment investment, small in occupied space and low in operating cost.