We have studied the spectral characteristics and the kinetics of delayed (long-lived) luminescence of N-methylindole and indole in the gas phase. For N-methylindole, we observed delayed annihilation fluorescence, spectrally matching fast fluorescence. There is no delayed annihilation fluorescence for indole, but we observed a delayed luminescence band with wavelength at the maximum 535 nm, which we interpreted as luminescence of free radicals formed as a result of dissociation of the N-H bond. We hypothesize that the excited states of the free radicals arise as a result of nonradiative energy transfer from indole in the triplet state to indole free radicals in the doublet state. The lifetimes of the triplet states of N-methylindole and indole in the gas phase at T = 373 K, obtained from analysis of the delayed luminescence kinetics, are 2.5 msec and 1.0 msec.