Based on the existing census direct estimator of erroneous enumerations, this paper classifies the registered population in the sample area under the double sampling survey, and constructs the census direct erroneous enumerations based on the correct registration probability, so as to solve the problem of erroneous enumerations and false increase caused by the uncertainty of the target population. The innovation lies in constructing the index system of the number of registered populations in the sample area, putting forward the direct erroneous enumerations, occurrence duplicate enumerations and duplicate enumerations of census based on the correct registration probability， and comparing the direct erroneous enumerations estimate of the census with the direct erroneous enumerations estimate based on the correct probability. Theoretical and empirical studies show that the direct overestimation and sampling standard error of census are higher than the direct overestimation and sampling standard error of census based on correct registration probability. The results show that the direct erroneous enumerations falsely increase the number of erroneous enumerations, and the accuracy of the direct erroneous enumerations based on the correct registration probability is higher.