The present invention relates to a steering apparatus for turning front wheels of a tractor. More particularly, the present invention provides a steering apparatus for tractors which includes a steering cylinder provided with left and right cylinder rods which are extended and retracted to the left and the right by steering force transmitted by hydraulic pressure when the driver manipulates the steering wheel, wherein swing links are respectively hinged to ends of the left and right cylinder rods, thus forming a first four-bar link structure, and second four-bar link structures are respectively formed on left and right ends of the first four-bar link structure so that the front wheels can be turned, whereby an angle range within which the front wheels can be turned can be increased.