HIOSH administers Hawaii's OSHA-approved state plan
Hawaii operates an OSHA-approved state plan under Section 18(b) of the federal Occupational Safety and Health Act. The Hawaii Occupational Safety and Health Division (HIOSH), part of the Department of Labor and Industrial Relations, administers occupational safety and health standards for both private-sector and public-sector (state and local government) employers under Hawaii Revised Statutes Chapter 396. HIOSH has jurisdiction over most employment in the state, with exceptions including federal employees, U.S. Postal Service contract workers, private-sector maritime activities (except marine construction not on vessels), and private-sector employees within secured military installations.
Source: 29 C.F.R. § 1952.16 and OSHA Hawaii State Plan page
HIOSH adopts most federal OSHA standards with select modifications
Hawaii's occupational safety and health standards are codified in Hawaii Administrative Rules (HAR) Title 12, Subtitle 8. The State Department of Labor adopts safety and health standards in accordance with Chapter 91, HRS. HIOSH generally adopts federal OSHA standards in their entirety, though there are instances in which HIOSH has made modifications to conform to Hawaii law. Some HIOSH standards have significant differences from their federal counterparts, and some have no federal equivalents. Hawaii's administrative rules are organized by industry: Part 2 (general industry), Part 3 (construction), and additional parts for agriculture and maritime.
Source: HIOSH About Us and OSHA Hawaii State Plan