The present disclosure provides an apparatus for controlling braking of a vehicle, comprising: a first switching member configured to receive a parking start signal and generate a first drive signal; a second switching member configured to receive the parking start signal and generate a second drive signal; a first controller configured to receive the first drive signal; a second controller configured to receive the second drive signal, the first and second controllers further configured to transceive a switch fail signal with each other; and an electronic parking brake motor configured to be controlled by at least one of the first and second controllers, wherein, when at least one of the first and second drive signals is abnormal, the electronic parking brake motor is controlled by at least one of the first and second controllers based on the switch fail signal.