Mud flap assemblies including a frame, a securing assembly and mud flap panels; the securing assembly enabling the frame to be secured to a hitch assembly having a shaft, for further attachment to a hitch receiver secured to a vehicle; the frame having a rear plate that preferably includes a hitch opening for receiving the shaft of the hitch assembly. The frame is preferably configured to engage or rest upon a portion of a bumper of the vehicle to minimize vibration of the frame during use. The mud flap assembly preferably includes a pair of stops that are preferably adjustable and are constructed and arranged to engage or rest against the bumper. The mud flap assembly preferably includes enlarged mud flap panels and mud flap support members for additional support of the enlarged mud flap panels. Methods of installing mud flap assemblies are also disclosed.