Translate 3d object

Have any ideas how to translate 3d object (f.e. box) after 2d cursor?
How correctly increase positions, considering camera’s transform?

As result, i want to drag my 3d object along x y z axis, like in Blender.

If i understood you correct, have a look at the help patch ofbutton(3d quad). Where a camera is connected and traces mouse in 3 dimension. Now simple map the X,Y from the mouse node to transform node of your target object. Similar principle with point editor where you can move vertices in Z as well. Or is your question something else?