Constraining galaxy physical properties from multi-wavelength observations: where do we stand? After a brief introduction on galaxy spectral synthesis, I will describe different approaches which have been developed over the past several years to interpret the ultraviolet, optical and infrared emission from galaxies in terms of constraints on physical parameters, such as star formation history, metallicity and dust content. I will emphasize recent progress in constraining the content and spatial distribution of dust from the integrated spectral properties of galaxies. I will also investigate in a quantitative way the relative merits of different types of photometric and spectroscopic observations to constrain galaxy physical parameters. Finally, I will conclude by mentioning some current challenges of the spectral synthesis of galaxies.