The fluorescence excitation and fluorescence spectra from a supersonic helium jet seeded with acridine molecules have been obtained. The presence of low-frequency vibrational transitions in the fluorescence excitation spectrum, which can be assigned as intermolecular vibrational modes, clearly indicates that acridine dimers are formed under jet-cooling conditions. The acridine dimer ground-state geometry determined by AMI calculations is a head-to-tail-like structure with an almost collinear arrangement of the short molecular axes of both molecular components. The results of calculations of spectral characteristics predict a large enhancement of the oscillator strength for the transition from the ground to first excited singlet state of the dimer (as compared to acridine molecule). Such enhancement is entirely connected with structure of the dimer (which presumably is also stabilized by the formation of a hydrogen bond).