It is already known that the equations of General Relativity are not c
onsistent with Static Domain Wall which is described by the energy mom
entum Tensor T-0(0) = T-2(2) = T-3(3) = rho and T-1(1) = -p. Here it i
s shown that even in Brans-Dicke Theory of Gravitation the static doma
in wall with either p = 0 or p = epsilon rho does not exist. In the la
tter case, we have used the property of reflection symmetry of the wal
l about x = 0 as well as a general relation between g(00) and the Bran
s-Dicke scalar field and have shown that the metric component g(00) ch
anges sign somewhere as we move away from the symmetry plane.