The union of translates of a closed unit
n
n
-dimensional cube whose edges are parallel to the coordinate unit vectors
e
1
,
…
,
e
n
{{\mathbf {e}}_1}, \ldots ,{{\mathbf {e}}_n}
and whose centers are
i
e
j
,
|
i
|
≤
k
,
1
≤
j
≤
n
i{{\mathbf {e}}_j},\left | i \right | \leq k,1 \leq j \leq n
, is called a
(
k
,
n
)
(k,n)
-cross. A system of translates of a
(
k
,
n
)
(k,n)
-cross is called an integer (a rational) lattice tiling if its union is
n
n
-space and the interiors of its elements are disjoint, the translates form a lattice and each translation vector of the lattice has integer (rational) coordinates. In this paper we shall continue the examination of rational cross tilings begun in [2], constructing rational lattice tilings by crosses that have noninteger coordinates on several axes.