Single-domain YBCO bulk superconductors have been fabricated by Top Seeded
Melt Slow Cooling Growth (TSSCG) process. Two typical YBCO cylinder samples
with differential grain-alignment were selected for the investigation of t
he relationship between the grain-alignment and the levitation force under
the same testing condition at liquid nitrogen temperature. It is found that
the levitation force values is much different for the two samples, the lev
itation force of the sample with H//c-axis is more than two times higher th
an that of the samples with H perpendicular to c-axis. So it is necessary t
o take account of this anisotropy in practical applications. The relationsh
ip between a magnet and a superconductor can be well described with a doubl
e exponential function. All the results are discussed in details.