This result can be attributed to the number of pinning centers increased by increasing Ti content in sample which results to the increase of trapped magnetic field inside the samples. In addition, levitation force is a function of the grain size and crystallographic orientation. As presented in Fig. 2, the grain size decreased with increasing TiO2 content. It can be also seen that the crystallographic orientation of samples is changed with increasing TiO2 content. The zero-distance levitation force density ( F0) values and the difference of repulsive force (Fr) and attractive force (Fa) at 3 mm from the permanent magnet for Ti-doped YBCO samples are shown in Fig. 7b.