A scheme is presented to generate the entangled squeezed coherent states via the nonresonant interaction of a two-level atom with a two-mode cavity field. When the detuning between the atomic transition frequency and the frequency of each mode is much large, the probability of atomic transition can be neglected. After the interaction of the appropriately prepared atom with the cavity field that are initially prepared in squeezed coherent states of each mode respectively, the entangled squeezed coherent states can be obtained by state-selective measurements on the atom.