The collective excitations of two-component degenerate Fermi gases in a harminic trap with a quartic distortion are investigated.Using variational approaches,the coupled equations of motions for the center-of-mass coordinate and width of two-component degenerate Fermi gases are derived.Then two low-energy excitation modes are obtained analytically.The freqency shift,collapse and revival of the collective excitations of two-component degenerate Fermi gases induced by the anharmonic distortion under different values of the effective s-and p-wave interactions are discussed,respectively.