Summary: We prove that any integral closed \(k\)-form \(\phi ^k\), \(k\geq 3\), on a m-dimensional manifold \(M^m\), \(m \geq k\), is the restriction of a universal closed \(k\)-form \(h^k\) on a universal manifold \(U^{d(m,k)}\) as a result of an embedding of \(M^m\) to \(U^{d(m,k)}\).