A nonperturbative method is used to study the two-color multiphoton io
nization of atoms by solving the Schrodinger equation in momentum spac
e, which facilitates the extraction of the rapidly varying part of the
wave function. Our method generalizes the problem for cases where an
arbitrary number of ionization photons are absorbed, and also takes in
to account the threshold shifts due to both the high- and low-frequenc
y fields. The photoelectron energy spectra of the hydrogen atoms are c
alculated and the dependence on the laser field strengths and frequenc
ies is discussed.