Recent reports of anomalous low-temperature properties at high magnetic fields of κ-(BEDT-TFF) 2 Cu(NCS) 2 and λ-(BEDTS) 2 GaCl 4 have sparked a renewed interest in possible Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states in d-wave superconductors. In contrast to conventional three-dimensional s-wave superconductors, there is evidence that FFLO states are realizable for quasi-two-dimensional anisotropic superconductors in a magnetic field parallel to the conducting plane. In this paper, the quasiparticle density of states N(E) are studied in two-dimensional d x y -wave and d x 2 - y 2 -wave superconductors. The energy dependence of N(E) provides clear signatures of the FFLO state.