  The warping effect on the fractional quantum Hall (FQH) states in topological
insulators is studied theoretically. Based on the perturbed wavefunctions,
which include contributions from the warping term, analytical expressions for
Haldane's pseudopotentials are obtained. We show that the warping term does not
break the symmetry of the pseudopotentials for $n$=$\pm1$ Landau levels (LLs).
With increasing the warping strength of the Fermi surface, our results indicate
that the stability of the FQH states for LL $n=0$ (LLs $n$=$\pm1$) becomes
stronger (weaker), and the excitation gap at $\nu=1/3$ FQH state for LL $n$=0
also increases while the gaps for LLs $n$=$\pm1$ are unchanged.
