A tire inflation pressure monitoring device and a vehicle having the same have a battery-driven unit provided on the tire side that can be reduced in size and power consumption. In a diagnosing unit, an ID comparing section outputs the result of detection of a tire inflation pressure to an inflation pressure calibrating section if a wheel ID included in a received signal coincides with a wheel ID recorded in a set value storing section. An atmospheric pressure detecting section calculates an atmospheric pressure at a present position according to an altitude at the present position. An inflation pressure calibrating section calibrates the result of detection of the tire inflation pressure to an inflation pressure at a reference atmospheric pressure. An inflation pressure diagnosing section compares the calibrated inflation pressure with a reference inflation pressure and inputs a predetermined error code into a storing section if the calibrated inflation pressure is lower than the reference inflation pressure. A diagnosing section reads the result of diagnosis corresponding to the error code recorded in the storing section, from the set value storing section and then outputs the result of diagnosis.