  The fractional quantum Hall effect (FQHE) of topological surface-state
particles under a tilted strong magnetic field is theoretically studied by
using the exact diagonalization method. The Haldane's pseudopotentials for the
Coulomb interaction are analytically obtained. The results show that by
increasing the in-plane component of the tilted magnetic field, the FQHE state
at $n$=0 Landau level (LL) becomes more stable, while the stabilities of
$n$=$\pm1$ LLs become weaker. Moreover, we find that the excitation gaps of the
$\nu=1/3$ FQHE states increase as the tilt angle is increased.
