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This is a continuation of our previous work. We classify all the simple q (Dn) - modulesvia an automorphismh defined on the set t λ ｜ ≠ 0 }. When fn (q) ≠ 0, this yields a classification of all the simple q(Dn)-modules for arbitrary n. In general (i.e., q arbitrary), ifλ(1) = λ(2), we give a necessary and sufficient condition (in terms of some polynomials) to ensure that the irreducible q.1( Bn)- module Dλ remains irreducible on restriction to .q(Dn).