This research aims at investigating the effect of realistic mathematics approach on mathematics learning achievement seen on numeric ability. 76 fourth grade students in Cluster III Buleleng regency were selected randomly as the sample of this research. The data were gathered using numeric ability test and mathematics learning achievement test. The data were analyzed using two-way analysis of variance. The result of the analysis shows that: (1) there is significant difference of mathematics learning achievement between students following realistic mathematics approach and those following conventional learning (Fobs = 13,77 > Fcv = 3,98), (2) there is a significant interactional effect between learning approach and numeric ability on mathematics learning achievement (Fobs = 54,386 > Fcv = 3,98), (3) for students having high numeric ability, mathematics learning achievement of students following realistic mathematics approach is higher than those following conventional approach (Qobs = 11,085 > Qcv = 2,83), (4) for students having low numeric ability, mathematics learning achievement of students following conventional approach is higher than those following realistic mathematics approach (Qobs = 3,677 > Qcv = 2,83)