  We apply the loop module construction of arXiv:1504.05114 in the context of
Lie colour algebras. We construct a bijection between the equivalence classes
of all finite-dimensional graded irreducible Lie colour algebra representations
from the irreducible representations for Lie superalgebras. This bijection is
obtained by applying the loop module construction iteratively to simple groups
in the Jordan--H\"older decomposition of the grading group. Restricting to
simple groups in this way greatly simplifies the construction. Despite the
bijection between Lie colour algebra representations and Lie superalgebra
representations, Lie colour algebras maintain a non-trivial representation
theory distinct from that of Lie superalgebras. We demonstrate the
applicability of the loop module construction to Lie colour algebras in two
examples: a Hilbert space for a quantum mechanical model and representations of
a colour version of $ \mathfrak{sl}_2 $.
