  We theoretically study the effect of magnetic moir\'e superlattice on the
topological surface states by introducing a continuum model of Dirac electrons
with a single Dirac cone moving in the time-reversal symmetry breaking periodic
pontential. The Zeeman-type moir\'e potentials generically gap out the moir\'e
surface Dirac cones and give rise to isolated flat Chern minibands with Chern
number $\pm1$. This result provides a promising platform for realizing the
time-reversal breaking correlated topological phases. In a $C_6$ periodic
potential, when the scalar $U_0$ and Zeeman $\Delta_1$ moir\'e potential
strengths are equal to each other, we find that energetically the first three
bands of $\Gamma$-valley moir\'e surface electrons are non-degenerate and
realize i) an $s$-orbital model on a honeycomb lattice, ii) a degenerate
$p_x,p_y$-orbitals model on a honeycomb lattice, and iii) a hybridized
$sd^2$-orbital model on a kagome lattice, where moir\'e surface Dirac cones in
these bands emerge. When $U_0\neq\Delta_1$, the difference between the two
moir\'e potential serves as an effective spin-orbit coupling and opens a
topological gap in the emergent moir\'e surface Dirac cones.
