In a skid detecting apparatus for a vehicle having an engine and a CVT changing an output of the engine in speed to drive front wheels and rear wheels, it is configured to detect rotational speeds of one of the front and rear wheels, sequentially calculate accelerations (wheel accelerations var1, var2) of the one of the wheels based on the detected rotational speeds, calculate a ratio (var1/var2) between two accelerations of the same wheel calculated at different time points among the sequentially-calculated accelerations (S10), compare the ratio between the two accelerations with a predetermined value (S16) and determine that the one of the wheels has skidded or some or all of the wheels including the one have skidded when the calculated ratio between the two accelerations exceeds the predetermined value (S18).