The present study aimed to investigate the accuracy of new noninvasive markers in predicting liver fibrosis among individuals with primary biliary cholangitis (PBC). This retrospective analysis included subjects with PBC who had liver biopsies. Scheuer's classification was used to determine the fibrosis stage. The bilirubin to albumin (Alb) ratio (BAR), fibrosis index based on the four factors (FIB-4), γ-glutamyl transpeptidase to platelet (PLT) ratio (GPR), red cell distribution width to PLT ratio (RPR), aspartate aminotransferase (AST) to alanine aminotransferase ratio (AAR), AST to PLT ratio index (APRI) and total bilirubin to PLT ratio (TPR) were calculated based on the laboratory parameters. A novel index called BARP was conceived as BAR x RPR. A total of 78 individuals with PBC were included in the study, 84.6% of whom had significant fibrosis, 30.8% had advanced fibrosis and 15.4% had cirrhosis. In the multivariate analysis, Alb was determined to be an independent predictor of advanced fibrosis (odds ratio=0.823, P=0.034). The area under the receiver operating characteristic curves (AUROCs) of the BAR, GPR, TPR and BARP were statistically significant in predicting severe fibrosis (P<0.05) and were 0.747, 0.684, 0.693 and 0.696, respectively. In assessing advanced fibrosis, the AUROCs for the AAR, APRI, BAR, FIB-4, RPR, TPR and BARP were 0.726, 0.650, 0.742, 0.716, 0.670, 0.735 and 0.750, respectively. The AUROCs for the APRI, BAR, FIB-4, RPR, TPR and BARP for cirrhosis prediction were 0.776, 0.753, 0.821, 0.819, 0.808 and 0.832, respectively. By comparing the AUROCs, it was demonstrated that the diagnostic capabilities of the BARP (P=0.021) and TPR (P=0.044) were superior to those of the APRI in predicting advanced fibrosis. In conclusion, the BAR, BARP and TPR were of predictive value for the grade of liver fibrosis in PBC and Alb had a diagnostic value in identifying early fibrosis. The aforementioned noninvasive indices may be used for predicting histologic stages of PBC.