Hi Ornomoba,

Can you try the following procedure?

1) In Plot Details dialog, choose Layer1 branch in the left panel. 
2) Choose Planes tab, and turn OFF XY, YZ and ZX check boxes. Click OK.
3) In Axis dialog, choose Title&Format tab, and turn OFF "Show Axis & Ticks" check 
   boxes for Bottom, Right, and Front. Click Apply. 
4) Choose Grid Lines tab, and turn OFF "Major Grids" check boxes for Verical, 
   Horizontal, and Z Axes. Click Apply.
5) Choose Tick Labels tab, and turn OFF "Show Major Labels" check boxes for Bottom, 
   Right, and Front. Click OK.

--Hideo Fujii
OriginLab

P.S.  I found that Origin 3D graph behaves showing the appropriate axes 
automatically when you rotate axes to tell the current view switched. 
If you don't want this behavior, you may change the color of all axes to white.