A method for controlling braking of a vehicle calculates a driver request braking deceleration and a current frictional coefficient of a road surface to obtain a vehicle deceleration corresponding to the coefficient of the road surface. A maximum deceleration at which a wheel lock does not occur upon braking only by a driving wheel is calculated when the driver deceleration is equal to or smaller than the coefficient by comparing the driver deceleration and the vehicle deceleration. A braking force is determined by distributing a regenerative braking force of the driving wheel and a frictional braking force of a driven wheel according to the coefficient when the maximum deceleration is smaller than the driver deceleration by comparing the maximum deceleration and the driver deceleration. A driving motor and a frictional braking device are controlled to generate the determined regenerative braking force and frictional braking force.