In this paper we introduce an algebraic concept of the coproduct of Ockham algebras called the special coproduct. We show that if $L_{i}\in DMS (i=1, 2, \ldots, n)$ then the special coproduct of $L_{i} (i=1, 2, \ldots, n)$ exists if and only if $L_{1}, \ldots, L_{n}$ have isomorphic skeletons.