  We construct the Schr\"odinger Functional (SF) setup for the M\"obius domain
wall fermions (MDWF). The method is an extension of the method proposed by
Takeda for the standard domain wall fermion. In order to fulfill the
requirement that the lattice Dirac operator with the SF boundary obeys the
L\"uscher's universality argument: the lattice chiral fermion with the SF
boundary condition breaks the chiral symmetry at the temporal boundary, we
impose the parity symmetry with respect to the fifth-direction on the MDWF
operator. This additional symmetry restricts the choice of the parameter of the
MDWF so that the optimal parameter from the Zolotarev optimal approximation
cannot be applied. We introduce a modified parameter set having the
fifth-dimensional parity symmetry. We investigate the MDWF with the SF boundary
by observing eigenvalues of the Hermitian operator and the Ginsparg-Wilson
relation violation at the tree-level. We compare the computational cost with
that of the standard DWF with the SF scheme.
