Context. Variations in the dust emissivity are critical for gas mass determinations derived from far-infrared observations, but also for separating dust foreground emission from the Cosmic Microwave Background (CMB). Hi-GAL observations allow us for the first time to study the dust emissivity variations in the inner regions of the Galactic plane at resolution below 1 degrees. Aims. We present maps of the emissivity spectral index derived from the combined Herschel PACS 160 mu m, SPIRE 250 mu m, 350 mu m, and 500 mu m data, and the IRIS 100 mu m data, and we analyze the spatial variations of the spectral index as a function of dust temperature and wavelength in the two science demonstration phase Hi-GAL fields, centered at l = 30 degrees and l = 59 degrees. Methods. Applying two different methods, we determine both dust temperature and emissivity spectral index between 100 and 500 mu m, at an angular resolution (theta) of 4'. Results. Combining both fields, the results show variations of the emissivity spectral index in the range 1.8-2.6 for temperatures between 14 and 23 K. The median values of the spectral index are similar in both fields, i.e. 2.3 in the range 100-500 mu m, while the median dust temperatures are equal to 19.1 K and 16.0 K in the l = 30 degrees and l = 59 degrees field, respectively. Statistically, we do not see any significant deviations in the spectra from a power law emissivity between 100 and 500 mu m. We confirm the existence of an inverse correlation between the emissivity spectral index and dust temperature, found in previous analyses.