We propose a mechanism to generate static magnetization via {\em axial magnetoelectric effect} (AMEE). Magnetization ${\bf M} \sim {\bf E}_5(\omega)\times E}_5^{*}(\omega)$ appears as result of the transfer angular momentum electric field E}_5(t)$ into magnetic moment in Dirac and Weyl semimetals. point out similarities differences between proposed AMEE conventional inverse Faraday effect (IFE)...