The synthesis of several different sizes of InSe nanoparticles from organometallic precursors is reported. These particles are characterized by transmission electron microscopy, electron diffraction, and optical spectroscopy. The electron diffraction results and optical properties indicate that these particles are two-dimensional disks, consisting of single Se-In-In-Se tetralayer sheets. The absorption spectra indicate strong quantum confinement along the z axis and, for the smaller particles, in the x,y plane. The z-axis quantum confinement may be quantitatively understood in terms of the band structure of bulk InSe. The results indicate that the z-axis quantum confinement reverses the order of the direct and indirect transitions in the case of the largest particles. The smaller particles exhibit strong, polarized fluorescence, and the fluorescence polarization may also be understood in terms of the band structure of bulk InSe.