  We provide a new five dimensional black string--like solution by means of the
embedding of a four dimensional regular black hole into a compact extra
dimension. We enunciate a list of constraints in order to that the five
dimensional black string--like solution to be regular, and, following these
constraints we construct our solution. Instead of the usual singularity, it is
formed a core whose topology corresponds to the product between the de--Sitter
core of the four dimensional Hayward solution and $S^1$. The horizon has
topology $S^2 \times S^1$. At infinity of the radial coordinate the regular
four dimensional geometry is asymptotically flat, {\it i.e}, at this place the
topology of the complete solution corresponds to the product between Minkowski
and $S^1$. At the induced four dimensional geometry we compute the correct
values of temperature and entropy.
