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When I make union of 2 planes with bool tool, they make 3rd face which overlaps. If I use Ctrl+J they stay the same but still there is shading issue on the overlapping part. Is there a way I can remove this overlapping part automatically after applying bool tool?

enter image description here

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Booleans are meant for volumes, not for flat objects. They generally do not work well with any overlapping geometry and as you see produce unexpected results. You should not use booleans in this situation, but join the planes some other way.

One way would be to use Knife Project to cut geometry from first to second and then from second to first, join them and merge vertices by distance to remove double geometry(vetrices and the extra face):

enter image description here

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  • $\begingroup$ Is there a way so that booleans do this automatically? Imagine doing this if you have more than 2 planes. $\endgroup$ – eon Jan 1 '20 at 14:59
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    $\begingroup$ Booleans are not suitable for this. They will produce unexpected results in this situation. If you have more than 2 planes, you do this more than one time or use another modelling technique. It's impossible to advice meaningfully without knowing what you want to do, I'm afraid. $\endgroup$ – Martynas Žiemys Jan 1 '20 at 15:07
  • $\begingroup$ Something like this encrypted-tbn0.gstatic.com/… $\endgroup$ – eon Jan 3 '20 at 12:43
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The other way is to subdivide a plane, stretch three middle faces and remove the corner faces.

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