Open Regedit & explore:
if you are using the XP style start menu
HKEY_CURRENT_USER\SOFTWARE\Microsoft\Windows\CurrentVersion\Explorer\HideDesktopIcons\NewStartPanel\
if working with the classic menu:
HKEY_CURRENT_USER\SOFTWARE\Microsoft\Windows\CurrentVersion\Explorer\HideDesktopIcons\ClassicStartMenu\
Inside, Make new DWORD-Value with the name "{645FF040-5081-101B-9F08-00AA002F954E}" & 'Modify' Value "1"
That will just hide the Recycle bin icon,
If a Dock is installed, by this procedure the 'Recycle bin' Docklet won't be anyhow affected as by some other Tweaks.
To restore the desktop icon again, just 'Modify' the same DWORD-Value to "0"
----------------------
The above answer is from the site called http://www.tweakxp.com/article36839.aspx I CAN NOT guarantee about the result. You better backup the registry before trying it. My personal opinion for you is NOT TO TRY the registry editing if you are not a power user of the computer.