In this paper we prove that if f is holomorphic function in one complex variable, whenever k+(n−1)/2 is a non‐negative integer, then for any underlying space Rn+1 the induced function Δk+(n−1)/2f(x)Pk(x) is left‐monogenic, where Pk is left‐monogenic and homogeneous of degree k in Rn+1. It is extended the original theorem by Fueter‐Sce with an extra monogenic factor Pk(x) to the higher order case. The work is based on a recent paper by the speaker.