A remote intelligent active drilling pressure control system and method. The system includes a drilling pump, a rotary blowout preventer, a ground simple throttle control manifold, a wellhead back pressure compensation manifold, a graded filling device, a downhole storage-type pressure measuring device, a ground multi-parameter online monitoring system, a drilling hydraulic calculation system, an MPD intelligent control platform and a remote monitoring and control system. The present invention provides a wellbore pressure control thought of “plugging and control integration”, improves the pressure resistance of a formation by circularly plugging while drilling, realizes active control of a wellbore pressure, effectively broadens a “drilling safety density window” of the formation, and reduces the requirements on the pressure control precision of a wellbore pressure control device.