Warped rotor,Tie rods, Wheel bearings (hub).
Front brake rotors are out of round. They need to be resurfaced or replaced.
Steering wheel vibration when applying brakes is usually caused by warped disc brake rotors
This is probably due to worn brake rotors on the brakes, if there is no vibration when driving then this will be the cause.
Could be out of balance Tire may be worn and need replacement Could be a bent wheel
you steering wheel starts shaking because you probably have warped roders your shaking will get worse at higher speeds and when pressing the brake
Out of alignment.......warped brake rotor......broken belt in a tire.....
Probably warped brake rotors. They can be removed and resurfaced or replaced with new ones.
Need some more details. Vibration all the time? Only certain speeds, only when you accelerate, vibration in the steering wheel, in the whole vehicle?
Check your power steering fliud, if it is low this could cause the vibration you are feeling.
if the vibration is on acell it could be a bad inner cv joint. if it is a freeway speeds it could be a wheel out of balance. if it there when your braking it could be a warp brake rotor.