This catalog contains near-infrared (2.5--5.0 micron) low-resolution (R ~ 100) spectra of 72 Galactic Planetary Nebulae (PNe), obtained with the InfraRed Camera (IRC) onboard the AKARI satellite in the post-helium phase. The objects were treated as almost point sources for the IRC. Grism spectroscopy was carried out in the 1-arcmin window. The near-infrared spectra were obtained in a slit-less mode without any flux loss due to a slit. The spectra show emission features including hydrogen recombination lines, helium recombination lines, the 3.3--3.5 micron hydrocarbon features, [MgIV] at 4.49 micron, and [ArVI] at 4.53 micron. This catalog also contains the intensity and equivalent width of these emission features measured by spectral fitting. The source list (source.dat) summarizes observations. As ancillary data, the magnitudes in the V- and Ks-band, the extinction at V-band toward the objects, and the effective temperature collected from literature are listed in another table (misc.dat). The intensities and the equivalent widths of the emission features are tabulated in different tables (intens.dat and equivw.dat). Each object is identified by the PNG ID (PNG) or an observation ID (Obs-ID). One-dimensional near-infrared spectra are stored in a directory (spc/). Each spectrum is identified by the observation ID.