  Smooth modules for affine Kac-Moody algebras have a prime importance for the
quantum field theory as they correspond to the representations of the universal
affine vertex algebras. But, very little is known about such modules beyond the
category of positive energy representations. We construct a new class of smooth
modules over affine Kac-Moody algebras. In a particular case, these modules are
isomorphic to those induced from generalized Whittaker modules for Takiff Lie
algebras. We establish the irreducibility criterion for constructed modules in
the case of the affine sl(2) Lie algebra.
