  We report our recent lattice calculation of hadronic light-by-light
contribution to muon $g-2$ using our recently developed moment method. The
connected diagrams and the leading disconnected diagrams are included. The
calculation is performed on a $48^3 \times 96$ lattice with physical pion mass
and 5.5 fm box size. We expect sizable finite volume and finite lattice spacing
corrections to the results of these calculations which will be estimated in
calculations to be carried out over the next 1-2 years.
