Let \(K\) be a field and let \(R\) be a homogeneous \(K\)-algebra, i.e. an algebra of the form \(R=K[x_1,\dots,x_n]/I\) where \(I\) is a homogeneous ideal with respect to deg \(x_i = 1\), the standard grading. A homogeneous algebra \(R\) is said to be universally Koszul if every ideal of \(R\) generated by linear forms has a linear \(R\)-free resolution. In the second part some families of Artinian algebras which are universally Koszul are investigated (quadratic algebra \(R\) with Hilbert series \(1+nz+mz^2\) with \(m\leq 1\) or \(2m\leq n\) and ``generic'' relations of \(R\)). In the last paragraph the Cohen-Macaulay domains which are universally Koszul are classified (quadratic hypersurfaces, rational normal scrolls, the Veronese surfaces).