If you don’t use the Recycle Bin to store deleted files , you can get rid of its desktop icon all together. Simply follow these steps..
Run Regedit and go to:
HKEY_LOCAL_MACHINE/SOFTWARE/Microsoft/Windows/CurrentVersion/explorer/Desktop/NameSpace
Click on the “Recycle Bin” string in the right hand pane. Hit Del, click OK.
Now close the registry editor and restart your computer after any changes to go into effect.