Procedures are described for the treatment of phase and modulation lifetime data in fluorescent systems having multiexponential decay. All computer procedures (called FIT programs) arise from the lifetime resolution theory for phase-modulation measurements (Weber, G. (1981) J. Phys. Chem. 85, 949-953). The programs most successful in resolving heterogeneous lifetimes use a Monte Carlo approach in which phase and modulation lifetime data at three modulation frequencies are simultaneously utilized. These programs are shown to have more utility than the final closed form procedure presented by Weber (1981). The FIT routines are simple and require little computer time while yielding excellent results. To illustrate the applicability of these programs, defined binary (carbazole and pyrene) and ternary systems (carbazole, pyrene and POPOP) were examined. In most cases, the resolved lifetimes were within 5% of the independently measured value and the fractional fluorescence contributions were within 10% of that expected. These results demonstrate that phase-modulation measurements analyzed by appropriate computer programs are capable of solving for lifetimes in both binary and, in selected cases, ternary systems. An example is given from the recent literature (Dalbey, R., Weiel, J. and Yount, R.G. (1983) Biochemistry 22, 4696-4706) in which the above programs allowed the resolution of both binary and ternary lifetimes of a dansyl label on myosin, where Förster energy transfer was occurring. These lifetimes were used to quantify changes in distances between two activity-related thiols on myosin upon the addition of Mg-ATP or its analogs.