We investigated the field entropy squeezing of k-photon Jaynes-Cummings model，discuss the influence of the photon number k and the initial state of the atom on the entropy squeezing. The results show that with the photon numberk increasing，the position entropy squeezing will be enhanced and the momentum entropy squeezing reduced. When k≥3，the position entropy is always squeezed. The initial state of the atom also shows some influence on the entropy squeezing.