  There is a counter-intuitive expectation proposed by Huse {\it et al} [Phys.
Rev. B {\bf 88}, 014206 (2013)], and Chandran {\it et al} [Phys. Rev. B
89,144201 (2014)]: Localization protects quantum order of groundstate even in
high excited eigenstates. In this work, we numerically investigate the
localization protection for symmetry-protected-topological (SPT) order by
considering a modified XXZ spin model, related to an interacting
Su-Schrieffer-Heeger (SSH) model. We systematically study how
Many-body-localization (MBL) protects SPT for different disorder types and
different forms of interactions. A certain disorder leads the clear degeneracy
of the low-lying entanglement spectrum of each excited many-body eigenstates.
This fact indicates that existence of edge modes, which is a hallmark of the
SPT order, is protected by the MBL in excited many-body eigenstates. In
addition, we also report how the MBL protected edge modes in excited many-body
eigenstates fade away for a diagonal type disorder.
