  In this paper, based on the mean field approach and
random-phase-approximation, we study the magnetic properties of the spinful
Haldane model on honeycomb lattice of topological flat band with on-site
repulsive Coulomb interaction. We find that the antiferromagnetic (AF) order is
more stable than ferromagnetic (FM) order at (or near) half-filling; while away
from half-filling the phase diagram becomes complex: At large doping, FM order
is more stable than AF order due to the flatness of band structure. In
particular, we find that at quarter filling case, the system becomes a Q=1$
topological insulator which is induced by the FM order.
