Here is the procedure how to delete Run and search option from Start Menu.

You need to follow few steps :-

Before that please have a backup of the registry database.

  1. Start->Run->Regedit
    HKEY_CURRENT_USER\Software\Microsoft\Windows\CurrentVersion
    \Policies\Explorer.
  2. Right-click on the right pane and select New, DWORD Value. Name
    it NoFind.(To remove the RUN option name it NoRun). Double-clickthe newly create DWORD to edit it's value and enter 1 as its value.
    This will disable the FIND option of the Start Menu and will also
    disable the default Shortcut key(F3 for Find.)

To restore the Run or find command modify the value of the
DWORD to 0 or simply Delete the DWORD value.