  An Arakelov-modular lattice of level $\ell$, where $\ell$ is a positive
integer, is an $\ell-$modular lattice constructed from a fractional ideal of a
CM field such that the lattice can be obtained from its dual by multiplication
of an element with norm $\ell$. The characterization of existence of
Arakelov-modular lattices has been completed for cyclotomic fields [4]. In this
paper, we extend the definition to totally real number fields and study the
criteria for the existence of Arakelov-modular lattices over totally real
number fields and CM fields. We give the characterization of Arakelov-modular
lattices over the maximal real subfield of a cyclotomic field with prime power
degree and totally real Galois fields with odd degrees. Characterizations of
Arakelov-modular lattices of trace type, which are special cases of
Arakelov-modular lattices, are given for quadratic fields and maximal real
subfields of cyclotomic fields with non-prime power degrees.
