  In this paper, we consider tubes in the Euclidean 3-space whose Gauss map n
is of coordinate finite I-type, i.e., the position vector n satisfies the
relation {\Delta}In = {\Lambda}n, where {\Delta}I is the Laplace operator with
respect to the first fundamental form I of the surface and {\Lambda} is a
square matrix of order 3. We show that circular cylinders are the only class of
surfaces mentioned above of coordinate finite I-type Gauss map.
