Cow transmitting abilities (CTA) were estimated by three different methods for 6018 Fleckvieh cows. A total of 16042 lactation records extracted from 53040 records were used for this evaluation. All cows whose had at least two records up to five were used. Records Of 305-day lactation involving yields of milk (MY), fat (FY), protein (PY), fat-plus-protein (FPY) and carrier (CY) were used. The evaluation methods included best linear unbiased prediction (BLuP), selection index for MY (SU), selection index for CY (512) and most probable producing ability (MPPA). Criteria for judging the merits of different methods of cow evaluation involved the Product-moment correlation (rpm), Spearman rank correlation (Cs) and Kendall rank correlation (rx). To assess 'the accuracy of different methods of cow evaluation, the standard error (SE) of each method was calculated along with the percentage of reduction in standard error (RSE) due LO using one method instead of another. The last criterion for judging the difference between methods is the sum of square of difference between methods (SSD). For all milk traits, the largest differences in estimates of CTA were recorded by MPPA and the lowest differences by the selection index (SI)