  The PROSPECT-I detector has several features that enable measurement of the
direction of a compact neutrino source. In this paper, a detailed report on the
directional measurements made on electron antineutrinos emitted from the High
Flux Isotope Reactor is presented. With an estimated true neutrino (reactor to
detector) direction of $\phi = 40.8\unicode{xB0} \pm 0.7\unicode{xB0}$ and
$\theta = 98.6\unicode{xB0} \pm 0.4\unicode{xB0}$, the PROSPECT-I detector is
able to reconstruct an average neutrino direction of $\phi = 39.4\unicode{xB0}
\pm 2.9\unicode{xB0}$ and $\theta = 97.6\unicode{xB0} \pm 1.6\unicode{xB0}$.
This measurement is made with approximately 48000 Inverse Beta Decay signal
events and is the most precise directional reconstruction of reactor
antineutrinos to date.
