We have studied the quantum dynamic behavior of system of two-mode squeezed field interacting with Bose-Einstein condensate of V-type three-level atoms, and analyzed the possibility of preparation of two-mode atomic laser via interaction of two-mode field and Bose-Einstein condensate of V-type three-level atoms. It is shown that the atoms from trapped state in Bose-Einstein condensate excited to untrapped states by two-mode radiation frequency maintain properties of coherent states. This result predicts theoretically that two-mode atomic laser can be prepared via interaction of two-mode field and Bose-Einstein condensate of V-type three-level atoms.