The invention belongs to the field of hot rolling strip steel, and particularly relates to a hot continuous rolling stainless steel strip steel tail portion loop control method. Step 1, a broken line is designed, a rectangular plane coordinate system is built, a force moment deviation value of a trip steel tail portion loop, namely, the difference between the given moment and the actual moment, serves as the X axis of the rectangular plane coordinate system, and a loop moment control coefficient value serves as the Y axis of the rectangular plane coordinate system, and the broken line is a three-section linear equation; step2, the algorithm of a strip steel tail portion loop moment controller is that Yn=Yn-1 +Kpn*{[1+TA/TN]*deltaYEn-deltaYEn-1}; step 3, if being within the range between delta1 and delta2, the moment deviation value of the trip steel tail portion loop is calculated according to the step 1, and if being beyond the range between the delta1 and the delta2, the moment deviation value of the trip steel tail portion loop is calculated according to the broken line, maximum amplitude limiting and minimum amplitude limiting are also adopted, the maximum amplitude limiting value is 8*10<-6>, and the minimum amplitude limiting value is 1*10<-6>; step 4, the loop is controlled by a hydraulic loop servo valve according to the result, calculated through the step 3, of the loop moment control coefficient.