A tire air-pressure alarming device includes wheel speed sensors for detecting wheel speeds of wheels of a motor vehicle and also includes a microcomputer-base control device and an alarming unit. The control device is programmed to execute function steps of: deriving a decision value based on the wheel speeds detected by the wheel speed sensors; judging the occurrence of air-pressure drop of the tires constituting wheels, based on the decision value; and outputting a command when the occurrence of the air-pressure drop of the tires is judged. The alarming unit is responsive to the command from the control device thereby to raise an alarm indicating the occurrence of the air-pressure drop of the tire. The tires are monitored by the tire air-pressure alarming device, wherein the control device is also programmed to execute a function step of standardizing the speed dependency of a rolling radius of the tires thereby to standardize the performance in judging the air-pressure drop of the tires. Thus, the tire property can be controlled to improve the accuracy in detecting the tire air-pressure drop.