[en] Observational study on near-infrared (IR) scattering properties of interstellar dust grains has been limited due to its faintness. Using all-sky maps obtained from the Diffuse Infrared Background Experiment, we investigate the scattering property from diffuse Galactic light (DGL) measurements at 1.25, 2.2, and $3.5\mathrm{\mu <!--\; ??\; -->}\mathrm{m}$, in addition to our recent analyses of diffuse near-IR emission. As a result, we first find that the intensity ratios of near-IR DGL to $100\mathrm{\mu <!--\; ??\; -->}\mathrm{m}$ emission increase toward low Galactic latitudes at 1.25 and $2.2\mathrm{\mu <!--\; ??\; -->}\mathrm{m}$. The derived latitude dependence can be reproduced by a scattered light model of interstellar dust with a large scattering asymmetry factor $g\equiv <!--\; ???\; -->⟨<!--\; ???\; -->\mathrm{c}\mathrm{o}\mathrm{s}\mathrm{\theta <!--\; ??\; -->}⟩<!--\; ???\; -->$ of ${0.8}_{-<!--\; ???\; -->0.3}^{+0.2}$ at 1.25 and $2.2\mathrm{\mu <!--\; ??\; -->}\mathrm{m}$, assuming an infinite Galaxy disk as an illuminating source. The derived asymmetry factor is comparable to the values obtained in the optical, but several times larger than that expected from a recent dust model. Since a possible latitude dependence of ultraviolet-excited dust emission at 1.25 and $2.2\mathrm{\mu <!--\; ??\; -->}\mathrm{m}$ would reduce the large asymmetry factor to the reasonable value, our result may indicate the first detection of such an additional emission component in the diffuse interstellar medium.