Method and apparatus are disclosed for autonomous parking of vehicles in perpendicular parking spots. An example vehicle includes a front corner, a sensor, and a parking controller. The parking controller is to detect, via the sensor, a perpendicular parking spot and determine a linear parking path located within the perpendicular parking spot along which the front corner is to travel. The parking controller also is to determine an approaching turn path to the linear parking path and autonomously turn along the approaching turn path and the linear parking path into the perpendicular parking spot.