  Entangled states are self-evidently important to a wide range of applications
in quantum communication and quantum information processing. We propose an
efficient and convenient two-step protocol for generating Bell states and NOON
states of two microwave resonators from merely coherent states. In particular,
we derive an effective Hamiltonian for resonators coupled to a superconducting
$\Lambda$-type qutrit in the dispersive regime. By the
excitation-number-dependent Stark shifts of the qutrit transition frequencies,
we are able to individually control the amplitudes of specified Fock states of
the resonators associated with relevant qutrit transition, using carefully
tailored microwave drive signals. Thereby an arbitrary bipartite entangled
state in Fock space can be generated by a typical evolution-and-measurement
procedure. We analysis the undesired state transitions and the robustness of
our protocol against the systematic errors from the microwave driving intensity
and frequency, the quantum decoherence of all components, and the crosstalk of
two resonators. In addition, we demonstrate that our protocol can be extended
to a similar scenario with a $\Xi$-type qutrit.
