Method and apparatus are disclosed for activation of tire pressure measurement systems. An example vehicle includes a door including a handle sensor, a tire pressure measurement system (TPMS) sensor, a communication module, a display, and a controller. The controller is to activate the TPMS sensor responsive to detecting, via the handle sensor, engagement of a handle and collect, via the communication module, a measurement from the TPMS sensor upon activation. The controller also is to present, via the display, a low-pressure alert in response to determining the measurement is less than a threshold.