  The non-random fluctuation is one of the central objects in first passage
percolation. It was proved in [Shuta Nakajima. Divergence of non-random
fluctuation in First Passage Percolation. {\em Electron. Commun. Probab.} 24
(65), 1-13. 2019.] that for a particular asymptotic direction, it diverges in a
lattice first passage percolation with an explicit lower bound. In this paper,
we discuss the non-random fluctuation in Euclidean first passage percolations
and show that it diverges in dimension $d\geq 2$ in this model also. Compared
with the result in \cite{N19}, the present result is proved for any direction
and improves the lower bound.
