  We study Hermitian structures on twisted cartesian products
$(\mathfrak{g}_{(\rho_{1},\rho_{2})},\mathrm{J},\cal{K})$ of two Hermitian Lie
algebras according to two representations $\rho_{1}$ and $\rho_{2}$. We give
the conditions on $(\mathfrak{g}_{(\rho_{1},\rho_{2})},\mathrm{J},\cal{K})$ to
be balanced and locally conformally balanced. As an application we classify
six-dimensional balanced Hermitian twisted cartesian products Lie algebras.
