A warning control unit of this tire air pressure monitoring device starts giving a driver a tire air pressure fall warning when a tire air pressure is equal to or lower than a first threshold. The warning control unit stops the warning when the tire air pressure becomes equal to or higher than a second threshold that is set based on a tire temperature in a case where the warning is being given. The warning control unit uses a constant value unrelated to a detected tire temperature as the first threshold, and uses a value obtained by adding a variable value, which is obtained by adding a positive constant value to a value that increases as a temperature difference obtained by subtracting a tire temperature at the time of the issuance of the warning from a current tire temperature increases, to the first threshold, as the second threshold.