We present a study of the average X-ray spectral properties of the sources detected by the NuSTAR extragalactic survey, comprising observations of the Extended Chandra Deep Field South (E-CDFS), Extended Groth Strip (EGS), and the Cosmic Evolution Survey (COSMOS). The sample includes 182 NuSTAR sources (64 detected at 8-24 keV), with 3-24 keV fluxes ranging between f 10 »´----erg cm −2 s −1 ) and redshifts in the range of z 0.04 3.21 = -. We produce composite spectra from the Chandra + NuSTAR data (E 2 40 keV » -, rest frame) for all the sources with redshift identifications (95%) and investigate the intrinsic, average spectra of the sources, divided into broad-line (BL) and narrow-line (NL) active galactic nuclei (AGNs), and also in different bins of X-ray column density and luminosity. The average power-law photon index for the whole sample is , respectively), likely due to the effect of absorption and to the contribution from the Compton reflection component to the high-energy flux (E 10 > keV). We find that the typical reflection fraction in our spectra is R 0.5 » (for 1.8 G = ), with a tentative indication of an increase of the reflection strength with X-ray column density. While there is no significant evidence for a dependence of the photon index on X-ray luminosity in our sample, we find that R decreases with luminosity, with relatively high levels of reflection (R 1.