  The \'etale homotopy groups of schemes as defined by Artin and Mazur have the
disadvantage of being homotopy invariant only in characteristic zero. This and
other related problems led to the definition of the tame topology which is
coarser than the \'etale topology by disallowing wild ramification along the
boundary of compactifications. The object of this paper is to show that the
associated tame homotopy groups are indeed ($\mathbb{A}^1$-)homotopy invariant,
at least for regular schemes.
