In a combustion air flow rate adjusting device in which a cylindrical regulating ring fitted about an outer peripheral surface of an inner cylinder of a gas turbine combustor is translated along the outer peripheral surface of the inner cylinder in order to vary an opening area of air intake ports formed in the peripheral wall of the inner cylinder, an arcuately moving part at a forward end of a lever fixedly connected to a forward end of a shaft extending inwardly through a peripheral wall of an outer cylinder of the gas turbine combustor is connected to a part reciprocating together with the regulating ring, by leaf springs.