Haw. Rev. Stat. § 22-1
The presiding officer and vice-presiding officer of each house of the legislature shall retain their respective offices, and shall discharge duties appropriate to their offices in the interim between sessions of the legislature, until such time as their successors are qualified in accordance with the rules of the respective houses or unless their tenure be terminated by action of the respective houses.
HRS § 22-1
Attorney General Opinions
Senate rule 31(3), which allows a majority of the members of the senate to convene a meeting of the senate "at any time for the purpose of carrying out the Senate's responsibilities under Article III, Section 12, of the Constitution of the State of Hawaii", does not violate this section, because the rule merely establishes a portion of the process members must follow to terminate or choose their officers. Att. Gen. Op. 05-1.