We describe a simple, static, fiber optic laser wavelength meter based on a Young's interferometer. In this wavelength meter, the two sources are provided by unequal-length output fibers from a single-mode 3-dB directional coupler. The cleaved ends of the output fibers are held rigidly at a fixed separation facing a linear sensor array that records the sinusoidally varying fringe pattern. Analysis of the recorded fringe pattern resolves the free-spectral-range ambiguity of the interferometer and provides a high-resolution value for the wavelength of the source. Based on our investigation, we believe that with occasional recalibration, the wavelength meter is capable of an accuracy better than one part in 105.