The microlensing event OGLE-2017-BLG-1434 features a cold super-Earth planet that is 1 of 11 microlensing planets with a planet–host-star mass ratio of <i>q</i> < 1 <strong>×</strong> 10<sup>−4</sup>. We provide an additional mass–distance constraint on the lens host using near-infrared adaptive optics photometry from Keck/NIRC2. We are able to determine a flux excess of <i>K</i><sub><i>L</i></sub> = 16.96 ± 0.11, which most likely comes entirely from the lens star. Combining this with constraints from the large Einstein ring radius, <i>θ</i><sub><i>E</i></sub> = 1.40 ± 0.09 mas, and OGLE parallax we confirm this event as a super-Earth with a mass of <i>m</i><sub><i>p</i></sub> = 4.43 ± 0.25<i>M</i><sub>⊕</sub>. This system lies at a distance of <i>D</i><sub><i>L</i></sub> = 0.86 ± 0.05 kpc from Earth and the lens star has a mass of <i>M</i><sub><i>L</i></sub> = 0.234 ± 0.012<i>M</i><sub>⊙</sub>. We confirm that with a star–planet mass ratio of <i>q</i> = 0.57 <strong>×</strong> 10<sup>-4</sup>, OGLE-2017-BLG-1434 lies near the inflexion point of the planet–host mass-ratio power law.