© 2018. The American Astronomical Society. All rights reserved.. We report the discovery of a giant planet in the KMT-2016-BLG-1397 microlensing event, which was found by The Korea Microlensing Telescope Network alone. The timescale of this event is t E =40.0 ±0.5 days, and the mass ratio between the lens star and its companion is q =0.016 ±0.002. The planetary perturbation in the light curve is a smooth bump, resulting in the classical binary-lens/binary-source (2L1S/1L2S) degeneracy. We measure the V - I color of the (putative) two sources in the 1L2S model, and then effectively rule out the binary-source solution. The finite-source effect is marginally detected. Combined with the limits on the blend flux and the probability distribution of the source size normalized by the Einstein radius ρ, a Bayesian analysis yields the lens mass , at distance of kpc. Thus, the companion is a super-Jupiter of a mass , at a projected separation au, indicating that the planet is well beyond the snow line of the host star.