  Webs of domain walls are constructed as 1/4 BPS states in d=4, N=2
supersymmetric U(Nc) gauge theories with Nf hypermultiplets in the fundamental
representation. Web of walls can contain any numbers of external legs and loops
like (p,q) string/5-brane webs. We find the moduli space M of a 1/4 BPS
equation for wall webs to be the complex Grassmann manifold. When moduli spaces
of 1/2 BPS states (parallel walls) and the vacua are removed from M, the
non-compact moduli space of genuine 1/4 BPS wall webs is obtained. All the
solutions are obtained explicitly and exactly in the strong gauge coupling
limit. In the case of Abelian gauge theory, we work out the correspondence
between configurations of wall web and the moduli space CP^{Nf-1}.
