A simple method of calculating the Wannier-Stark resonances in 2D lattices
is suggested. Using this method we calculate the complex Wannier-Stark spec
trum for a nonseparable 2D potential realized in optical lattices and analy
ze its general structure. The dependence of the lifetime of Wannier-Stark s
tates on the direction of the static field (relative to the crystallographi
c axis of the lattice) is briefly discussed.