When I move my object Adobe Illustrator shows an error: Can't move the objects
When I drag my selected object it displays the following error:
Can't move the objects. The requested transformation would make some objects fall completely off the drawing area.
Look at the bounding box of what you're trying to move. If there is some stray object, it will expand that bounding box out to surround that object as well. Then you can go delete/unselect that object and continue with your move.
If, however, you see that the bounding box is only surrounding what you're trying to move with no stray objects and you're still getting that error, then it is most likely a guide point. There must have been a guide at some point that was deleted but it still has stray points on either end way out at the edges of your drawing board. A simple fix for this - as you can hunt and hunt and pretty much never find these stray points - just go to View > Guides > Clear Guides. This will (unfortunately) delete all your guides, but it will also solve your problem in a matter of seconds.