  In this paper, we study some basic properties of the octonionic Nahm's
equations over $[0,1]$. We prove that the moduli space of the smooth solutions
to the octonionic Nahm's equations over $[0,1]$ is a star-shaped smooth
manifold with a complete metric. In addition, for any commuting triples of the
cotangent bundle of a complex Lie group, we construct solutions to the
octonionic Nahm's equations. Moreover, we introduce extra symmetry and study a
decoupled version of the octonionic Nahm's equations over $[0,1]$. We prove a
Kempf-Ness theorem for the meromorphic solutions to the decoupled octonionic
Nahm's equations.
