In this article we report the study of the first overtone of fluorobenzene (C6H5F) in the wave number range from about 5900 to 6100 cm(-1). The absorption spectrum has been measured with both a low-temperature opto-acoustic cell and a supersonic-beam opto-thermal spectrometer. A theoretical description of the observed, high-resolution spectrum is given in the framework of the one-dimensional algebraic model, inclusive of a complete set of Fermi (anharmonic) interactions.