when I have subfolder in folder - this code isn\'t delete folders... Is there any error?
procedure TForm.Remove(Dir: String);
var
  Result: TSearchRec; Found         
        The last time I needed to delete a folder with content I used the JCL:
uses JclFileUtils;
DeleteDirectory(DirToDelete, True);
The last parameter tells whether the files should go to the recycle bin or not, which is a nice bonus.
uses DSiWin32;
DSiDeleteTree(folderName, false);
DSiWin32 is open source project relased with "use as you wish" license.
If I were you, I'd just tell the operating system to delete the folder with all of its content. Do so by writing (uses ShellAPI)
var
  ShOp: TSHFileOpStruct;
begin
  ShOp.Wnd := Self.Handle;
  ShOp.wFunc := FO_DELETE;
  ShOp.pFrom := PChar('C:\Users\Andreas Rejbrand\Desktop\Test\'#0);
  ShOp.pTo := nil;
  ShOp.fFlags := FOF_NO_UI;
  SHFileOperation(ShOp);
[If you do
  ShOp.fFlags := 0;
instead, you get a nice confirmation dialog. If you do
ShOp.fFlags := FOF_NOCONFIRMATION;
you don't get the confirmation dialogue, but you do get a progress bar if the operation is lengthy. Finally, if you add the FOF_ALLOWUNDO flag, you move the directory to the Waste Bin instead of permanently deleting it.
ShOp.fFlags := FOF_ALLOWUNDO;
Of course, you can combine flags as you like:
ShOp.fFlags := FOF_NOCONFIRMATION or FOF_ALLOWUNDO;
will not show any confirmation (but a progress dialog because you don't specify FOF_NO_UI) and the directory will be moved to the waste bin and not permanently deleted.]
To address the original problem - try this:
procedure TForm.Remove(const Dir: String);
var
  sDir: String;
  Rec: TSearchRec;
begin
  sDir := IncludeTrailingPathDelimiter(Dir);
  if FindFirst(sDir + '*.*', faAnyFile, Rec) = 0 then
  try
    repeat
      if (Rec.Attr and faDirectory) = faDirectory then
      begin
        if (Rec.Name <> '.') and (Rec.Name <> '..') then
          Remove(sDir + Rec.Name);
      end else
      begin
        DeleteFile(sDir + Rec.Name);
      end;
    until FindNext(Rec) <> 0;
  finally
    FindClose(Rec);
  end;
  RemoveDir(sDir);
end; 
The simplest thing to do is to call TDirectory.Delete(Dir, True).
TDirectory is found in IOUtils which is quite a recent RTL addition.
The True flag is passed to the Recursive parameter which means that the contents of the directories are empied before the directory is removed, an essential part of deleting directories.
In a comment you tell us that you use Delphi 7 and so this cannot be used.
Your code looks mostly fine. However, you don't mean:
(Result.Attr and faAnyFile <> faDirectory)
I think you mean:
(Result.Attr and faDirectory <> faDirectory)
I would probably write it as follows:
procedure TMyForm.Remove(const Dir: string);
var
  Result: TSearchRec;
begin
  if FindFirst(Dir + '\*', faAnyFile, Result) = 0 then
  begin
    Try
      repeat
        if (Result.Attr and faDirectory) = faDirectory then
        begin
          if (Result.Name <> '.') and (Result.Name <> '..') then
            Remove(Dir + '\' + Result.Name)
        end
        else if not DeleteFile(Dir + '\' + Result.Name) then
          RaiseLastOSError;
      until FindNext(Result) <> 0;
    Finally
      FindClose(Result);
    End;
  end;
  if not RemoveDir(Dir) then
    RaiseLastOSError;
end;