We present photometric and kinematic information obtained by measuring 197 planetary nebulae (PNs) discovered in the flattened Fornax elliptical galaxy NGC 1344 (also known as NGC 1340) with an on-band, off-band, and grism+on-band filter technique. We build the PN luminosity function (PNLF) and use it to derive a distance modulus m - M = 31.4 ± 0.18, which is slightly smaller than, but in good agreement with, the surface brightness fluctuation distance. The PNLF also provides an estimate of the specific PN formation rate: (6 ± 3) × 10-12 PNs yr-1 L. If we combine the positional information from the on-band image with PN positions measured on the grism+on-band image, we can measure the radial velocities of 195 PNs, some of them distant more than three effective radii from the center of NGC 1344. We complement this data set with stellar kinematics derived from integrated spectra along the major and minor axes and parallel to the major axis of NGC 1344. The line-of-sight velocity dispersion profile indicates the presence of a dark matter halo around this galaxy.
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