have front suspension checked
== == Bad Tire or Tires.
Bad tire, wheel, bearing, steering component,..............
Tire out of balance, bent wheel, defect in tire, loose wheel bearing, worn suspension parts are common causes. Have the tires removed inspected and balanced. Have all other parts inspected.
You probably need to get your tires balanced. Or replaced. If the bias goes (steel belt breaks or shifts), the car will waddle at low speeds, and the steering wheel will shake at high speeds.
balance your tires
What make the steering wheel shake is the tires that need wheel balance.
the tires could be out of balence bent rim bad tire
Loose or worn steering parts, suspension worn, tires out of balance.
Your power steering pump and or steering box may be about to give out on you.
Check tire balance or wheel bearings in front axle
You may need a wheel alignment, or you may need bushings.