We study the entanglement dynamics of the system composed of a Λ-type atom and a V-type atom resonantly interacting with two coupled cavities. The evolution of the state vector of the system is given. We investigate the evolutions of atom-atom entanglement, cavity-cavity entanglement, and atom-cavity entanglement by Negativity. The influences of cavity-cavity coupling coefficient on the entanglements are discussed. The results obtained by the numerical method show that the atom-atom entanglement is strengthened and the cavity-cavity entanglement is weakened with the increase of the cavity-cavity coupling coefficient.