  We present a new method to achieve an embedded desingularization of a toric
variety.
  Let $W$ be a regular toric variety defined by a fan $\Sigma$ and $X\subset W$
be a toric embedding. We construct a finite sequence of combinatorial
blowing-ups such that the final strict transforms $X'\subset W'$ are regular
and $X'$ has normal crossing with the exceptional divisor.
