This paper deals with semihyperbolic semigroups which are generated by entire (possibly transcendental) functions. In particular, a criterion is given assuring that a given entire semigroup is semihyperbolic. Note that a semihyperbolic semigroup G admits holomorphic scaling, that is to say, the branches of local inverses of functions f ∈ G are of bounded degree and that the preimages shrink to zero in diameter.