The invention provides an external anaerobic membrane bioreactor comprising an anaerobic tank, a tubular membrane component, tubular ultrafiltration membrane elements and a clear water tank, wherein the tubular ultrafiltration membrane elements are vertically arranged in parallel in the tubular membrane component. The invention also provides a corresponding waste water purification technology of the external anaerobic membrane bioreactor. The waste water purification technology includes the steps as follows: firstly conducting purification treatment on waste water to be treated in the anaerobic tank, collecting biogas which is generated after treatment, filtering and separating the treated waste water in sequence by a fine grating and the tubular ultrafiltration membrane elements, at last leading out the leached clear water, backwashing and chemically washing the tubular ultrafiltration membrane elements at time intervals, drip-washing the collected biogas, and then pumping the biogas together with sewage into the tubular ultrafiltration membrane elements, so that the washing effect of the inner walls of the tubular ultrafiltration membrane elements can be improved. As for the external anaerobic membrane bioreactor and the waste water purification technology thereof, the energy consumption in operation is low, the quality of effluent is good, and blockage does not happen easily.