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Dear Valery, Pasha,

I finally manage to get it. There're mainly 2 corrections on 
my original code.
(1) Change father from TH1 to TObject
(2) Change "Draw" implementation to 
**   void test::Draw(Option_t option)
**   {
**      fpx->Draw();
**      AppendPad(option)
**   }

This is purly by chance but anyway, it works now.
The attached file is the total code

The running process is
*  aa = new test()
*  aa->Draw()

When move the mouse, it'll print all the value of x and y. When
Click the mouse, a new Canvas will Popup.  

Thank you very much for all the help !

Xie

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#ifndef _test_
#define _test_

#include <stdlib.h>

#include <TROOT.h>
#include <TApplication.h>
#include <TObject.h>
#include <TCanvas.h>
#include <TH1.h>
#include <TRandom.h>

class test:public TObject {

private:
   TH1F *fHpx;
public:
   test();
   Int_t DistancetoPrimitive(Int_t px, Int_t py);
   void ExecuteEvent(Int_t event, Int_t px, Int_t py);
   void Draw(Option_t *option);


   ClassDef(test,0)
};

#endif


#include "test.h"

ClassImp(test)

test::test(): TObject()
{
   // Fill histograms till user clicks "Stop Filling" button.

   static int cnt;

   if (!fHpx) {
      fHpx   = new TH1F("hpx","",100,-4,4);
      fHpx->SetFillColor(kRed);
      cnt = 0;
   }

   int kUPDATE = 1000;
   float px, py;

   Int_t num=0;
   while (num<1000)
   {
      num++;
      gRandom->Rannor(px,py); //px and py will be two gaussian random numbers
      fHpx->Fill(px);
   }
}

Int_t test::DistancetoPrimitive(Int_t px, Int_t py)
{
   //return TH1::DistancetoPrimitive(px, py);
   return 0;
}

void test::ExecuteEvent(Int_t event, Int_t px, Int_t py)
{
    Float_t x,y;
   
    switch(event)
    {
       case kMouseMotion:
         x = gPad->AbsPixeltoX(px);
         y = gPad->AbsPixeltoY(py);
         printf("x=%.3g, y=%.3g\n",gPad->PadtoX(x),gPad->PadtoY(y));
	 break;
       case kButton1Down:
         TCanvas *newCanvas = new TCanvas("newCanvas","",700,500);
	 break;
    }
}

void test::Draw(Option_t *option)
{
   fHpx->Draw();
  AppendPad(option);
}

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