We have performed precise measurements of the third-order dielectric consta
nt in an antiferroelectric crystal MHPOCBC. In the vicinity of the SmA- SmC
alpha* phase transition point an anomalous increase of it was observed. We
have developed a Landau theory taking into account the pretransitional fluc
tuations and shown that the fluctuation can contribute to the third-order r
esponse. The anomalous behavior near the transition point was discussed on
the basis of the theoretical results.