Hot Jupiters orbiting hot stars ($T_\mathrm{eff} \gt 7000$ K) are suggested to have experienced high-eccentricity migration, often evidenced by the tendency for misaligned orbits, despite their circular orbits. In this paper, we present the discovery of TOI-1355 b: an eccentric ($e\sim 0.22$) hot Jupiter with a mass of $m_{\mathrm{p}}\sim 5.8\, M_{\rm J}$ and a radius of $R_{\mathrm{p}}\sim 1.4\, R_{\rm J}$ orbiting an A-type star with a period of about 2.17 d, identified from the TESS transit survey and subsequent follow-up observations. We measured the stellar parameters using the data from the high-resolution spectrograph Seimei/GAOES-RV and obtained the planetary parameters from the photometric data acquired by TESS and ground-based telescopes. This is one of the rare eccentric hot Jupiters around hot stars. This system could be undergoing high-eccentricity migration. We detected nodal precession by measuring the change in its impact parameter. This implies that its transit will no longer be observable from the middle of 2033. Nevertheless, TOI-1355 b is anticipated to be a compelling target for future atmospheric observations, given the hint of atmospheric variability detected in this study.