The present invention relates to a sunshade apparatus for automobiles. In the apparatus, first and second linking rods, which function to stretch or close first and second arm units jointed to a shade bar, are actuated by first and second racks, which are engaged with motor-operated first and second drive pinions and are rectilinearly moved in opposite directions. Further, torsion springs are fitted over respective pivots, which joint the upper arm members of the first and second arm units to the shade bar, such that the torsion springs can promote the stretching of respective upper arm members. The torsion springs can be easily assembled in the apparatus, do not generate vibration or noises, and are light, thus reducing the power required to move the shade bar upwards or downwards. Therefore, the present invention realizes the smallness of the drive unit and the lightness of the sunshade apparatus.