As of my knowledge cutoff, David Ige completed his second term as Hawaii's governor on December 5, 2022. He was term-limited after eight years (2014–2022).
Josh Green, M.D., former Lieutenant Governor, was elected in November 2022 and inaugurated on December 5, 2022. His first term ends December 2026. He is eligible for a second term (2026–2030).
For absolute current status, consult:
• governor.hawaii.gov (official office)
• Hawaii Office of Elections
• National Governors Association: nga.org/governor/josh-green
Hawaii's governor has significant authority over land use, tourism policy, emergency management (critical for hurricane/volcano/tsunami threats), and the only statewide school district in the U.S.